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Journal articles on the topic 'M-Space'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Hayotov, A. R., та U. N. Khayriev. "Оптимальные квадратурные формулы в пространстве W2(m,m−1) периодических функций". Вестник КРАУНЦ. Физико-математические науки, № 3 (5 грудня 2022): 211–26. http://dx.doi.org/10.26117/2079-6641-2022-40-3-211-226.

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This paper is devoted to the process of finding the upper bound for the absolute error of the optimal quadrature formula in the space W2(m,m−1) of real-valued, periodic functions. For this the extremal function of the quadrature formula is used. In addition, it is shown that the norm of the error functional for the optimal quadrature formula constructed in the space W2(m,m−1)is less than the value of the norm of the error functional for the optimal quadrature formula in the Sobolev space L2(m). Данная статья посвящена процессу нахождения верхней оценки абсолютной погрешности оптимальной

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2

Sauer, N. W. "Distance Sets of Urysohn Metric Spaces." Canadian Journal of Mathematics 65, no. 1 (2013): 222–40. http://dx.doi.org/10.4153/cjm-2012-022-4.

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Abstract.A metric space M = (M; d) is homogeneous if for every isometry f of a finite subspace of M to a subspace of M there exists an isometry of M onto M extending f . The space M is universal if it isometrically embeds every finite metric space F with dist(F) ⊆ dist(M) (with dist(M) being the set of distances between points in M).A metric space U is a Urysohn metric space if it is homogeneous, universal, separable, and complete. (We deduce as a corollary that a Urysohn metric space U isometrically embeds every separable metric space M with dist(M) ⊆ dist(U).)The main results are: (1) A char

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3

Pasko, A. M. "The fundamental group of the space $\Omega_n(m)$." Researches in Mathematics 30, no. 1 (2022): 66. http://dx.doi.org/10.15421/242207.

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In the present paper the spaces $\Omega_n(m)$ are considered. The spaces $\Omega_n(m)$, introduced in 2018 by A.M. Pasko and Y.O. Orekhova, are the generalization of the spaces $\Omega_n$ (the space $\Omega_n(2)$ coincides with $\Omega_n$). The investigation of homotopy properties of the spaces $\Omega_n$ has been started by V.I. Ruban in 1985 and followed by V.A. Koshcheev, A.M. Pasko. In particular V.A. Koshcheev has proved that the spaces $\Omega_n$ are simply connected. We generalized this result proving that all the spaces $\Omega_n(m)$ are simply connected. In order to prove the simply c

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4

Bektas, Cigdem Asma, and Gülcan Atıci. "On some new modular sequence spaces." Boletim da Sociedade Paranaense de Matemática 31, no. 2 (2013): 55. http://dx.doi.org/10.5269/bspm.v31i2.15316.

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Lindenstrauss and Tzafriri [7] used the idea of Orlicz function to define the sequence space ℓM which is called an Orlicz sequence space. Another generalization of Orlicz sequence spaces is due to Woo [9]. An important subspace of ℓ (M), which is an AK-space, is the space h (M) . We define the sequence spaces ℓM (m) and ℓ N(m), where M = (Mk) and N = (Nk) are sequences of Orlicz functions such that Mk and Nk be mutually complementary for each k. We also examine some topological properties of these spaces. We give the α−, β− and γ− duals of the sequence space h (M) and α− duals of the squence s

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5

Pasko, A. M. "The homology groups of the space $\Omega_n(m)$." Researches in Mathematics 27, no. 1 (2019): 39. http://dx.doi.org/10.15421/241904.

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The spaces $\Omega_n(m)$ that generalize the spaces $\Omega_n$ are introduced. In order to investigate the homotopy invariants of the space $\Omega_n(m)$ the CW-structure of the space $\Omega_n(m)$ is built. Using exact homology sequence the homology groups of the space $\Omega_n(m)$ are calculated.

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6

Kadari, Ramalingaiah, and B. Surender Reddy. "Cubic Structure on Soft Gamma-m-Normed Linear Space." Indian Journal Of Science And Technology 17, no. 28 (2024): 2933–44. http://dx.doi.org/10.17485/ijst/v17i28.1713.

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Objectives: The purpose of this research is to take the lead in comprehending the fuzzy idea of cubic structure on soft Gamma-m normed linear space. According to the theory of Soft m-Normed Linear Space (SMNLS), we offer the conviction of Cauchy's sequence and convergence in cubic Soft Gamma-m Normed Linear Space (CSGMNLS). We have obtained certain results like the concept of completeness in CSGMNLS. Methods: In this paper we defined the soft gamma ring, soft gamma ideals and soft gamma vector space which are used to introduce the notion of soft gamma-2-normed linear space, Soft Gamma-m-Normed

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7

Tripathy, Binod Chandra, and Shyamal Debnath. "Fuzzy $m$-structures $m$-open multifunctions and bitopological spaces." Boletim da Sociedade Paranaense de Matemática 37, no. 4 (2018): 119–28. http://dx.doi.org/10.5269/bspm.v37i4.35152.

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In this paper we study different weak forms of open multifunctionsfrom a fuzzy topological space into a fuzzy $m$-space. Further we study the same from a fuzzy bitopological space into a fuzzy bitopological spaces.

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8

Latif, Raja Mohammad. "M – STAR – Irresolute Topological Vector Spaces." International Journal of Pure Mathematics 7 (February 8, 2021): 20–36. http://dx.doi.org/10.46300/91019.2020.7.4.

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In 2016 A. Devika and A. Thilagavathi introduced a new class of sets called M*-open sets and investigated some properties of these sets in topological spaces. In this paper, we introduce and study a new class of spaces, namely M*-irresolute topological vector spaces via M*-open sets. We explore and investigate several properties and characterizations of this new notion of M*-irresolute topological vector space. We give several characterizations of M*-Hausdorff space. Moreover, we show that the extreme point of the convex subset of M*-irresolute topological vector space X lies on the boundary.

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9

Estaji, A. A., Darghadam Mahmoudi, and H. Yousefpour. "Maximal ideals in rings of real measurable functions." Filomat 32, no. 15 (2018): 5191–203. http://dx.doi.org/10.2298/fil1815191e.

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Let M(X) be the ring of all real measurable functions on a measurable space (X,A). In this article, we show that every ideal of M(X) is a Z?-ideal. Also, we give several characterizations of maximal ideals of M(X), mostly in terms of certain lattice-theoretic properties of A. The notion of T-measurable space is introduced. Next, we show that for every measurable space (X,A) there exists a T-measurable space (Y,A') such that M(X) ? M(Y) as rings. The notion of compact measurable space is introduced. Next, we prove that if (X,A) and (Y,A') are two compact T-measurable spaces, then X ? Y as measu

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10

Hdeib, Hasan Z., and Yusuf Ünlü. "Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces." International Journal of Mathematics and Mathematical Sciences 20, no. 1 (1997): 37–42. http://dx.doi.org/10.1155/s0161171297000069.

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Letnandmbe infinite cardinals withn≤mandnbe a regular cardinal. We prove certain implications of[n,m]-strongly paracompact,[n,m]-paracompact and[n,m]-metacompact spaces. LetXbe[n,∞]-compact andYbe a[n,m]-paracompact (resp.[n,∞]-paracompact),Pn-space (resp.wPn-space). Ifm=∑k<nmkwe prove thatX×Yis[n,m]-paracompact (resp.[n,∞]-paracompact

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11

Ali, Mayada Nazar Mohammed, Raghad Ibrahim Sabri, and Fatema Ahmad Sadiq. "A new properties of fuzzy b-metric spaces." Indonesian Journal of Electrical Engineering and Computer Science 26, no. 1 (2022): 221–28. https://doi.org/10.11591/ijeecs.v26.i1.pp221-228.

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Metric spaces are specific types of topological spaces with pleasing “geometric” characteristics and they have a number of appealing properties and are commonly used in both pure and applied sciences. In this work, the structure of cartesian product space in the setting of a fuzzy b-metric space (Fb-M space) framework is introduced, which is an extension allows to create the large-scale structure for the space of the type fuzzy b-metric. The possibility of transferring some of the results and important features related to Fb-M space to this suggested space are discussed and demonst

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12

Jevtic, Miroljub, and Miroslav Pavlovic. "On M-Harmonic Bloch Space." Proceedings of the American Mathematical Society 123, no. 5 (1995): 1385. http://dx.doi.org/10.2307/2161125.

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13

Modak, Shyamapada. "Operators on grill M-space." Boletim da Sociedade Paranaense de Matemática 31, no. 2 (2013): 101. http://dx.doi.org/10.5269/bspm.v31i2.15547.

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14

Sid Ahmed, Ould Ahmed Mahmoud. "m-ISOMETRIC OPERATORS ON BANACH SPACES." Asian-European Journal of Mathematics 03, no. 01 (2010): 1–19. http://dx.doi.org/10.1142/s1793557110000027.

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We introduce the class of m-isometric operators on Banach spaces. This generalizes to Banach space the m-isometric operators on Hilbert space introduced by Agler and Stankus. We establish some basic properties and we introduce the notion of m-invertibility as a natural generalization of the invertibility on Banach spaces.

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15

Mohammed Ali, Mayada N., Raghad I. Sabri, and Fatema Ahmad Sadiq. "A new properties of fuzzy b-metric spaces." Indonesian Journal of Electrical Engineering and Computer Science 26, no. 1 (2022): 221. http://dx.doi.org/10.11591/ijeecs.v26.i1.pp221-228.

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Metric <span lang="EN-US">spaces are specific types of topological spaces with pleasing “geometric” characteristics and they have a number of appealing properties and are commonly used in both pure and applied sciences. In this work, the structure of cartesian product space in the setting of a fuzzy b-metric space (Fb-M space) framework is introduced, which is an extension allows to create the large-scale structure for the space of the type fuzzy b-metric. The possibility of transferring some of the results and important features related to Fb-M space to this suggested space are discusse

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16

MA, Congbian, and Guoxi Zhao. "An Interpolation Theorem for Quasimartingales in Noncommutative Symmetric Spaces." Advances in Mathematical Physics 2021 (January 30, 2021): 1–5. http://dx.doi.org/10.1155/2021/6678150.

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Let E be a separable symmetric space on 0 , ∞ and E M the corresponding noncommutative space. In this paper, we introduce a kind of quasimartingale spaces which is like but bigger than E M and obtain the following interpolation result: let E ^ M be the space of all bounded E M -quasimartingales and 1 < p < p E < q E < q < ∞ . Then, there exists a symmetric space F on 0 , ∞ with nontrivial Boyd indices such that E ^ M = L ^ p M , L ^ q M F , K .

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Furqan, Salman, Hüseyin Işık, and Naeem Saleem. "Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results." Journal of Function Spaces 2021 (May 20, 2021): 1–8. http://dx.doi.org/10.1155/2021/9936992.

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In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b -metric space, fuzzy b -metric space, and extended fuzzy b -metric space. We use f , g , h , three noncomparable functions as follows: m q μ , η , t + s + w ≥ m q μ , ν , t / f μ , ν ∗ m q ν , ξ , s / g ν , ξ ∗ m q ξ , η , w / h ξ , η . We prove Banach fixed point theorem in the settings of fuzzy triple controlled metric space that generalizes Banach fixed point theorem for aforementioned spaces. An example is presented to suppo

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18

Noiri, Takashi, and Valeriu Popa. "Some Forms of Open Multifunctions in Ideal Topological Spaces." European Journal of Pure and Applied Mathematics 16, no. 1 (2023): 430–39. http://dx.doi.org/10.29020/nybg.ejpam.v16i1.4691.

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19

Sadygov, M.A. "SPACE ( , , ) M()  E Y AND ITS PROPERTIES." Annali d'Italia 42 (April 25, 2023): 32–49. https://doi.org/10.5281/zenodo.7865256.

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The paper defines the space M ( ,E,Y) ()  , considers a number of its subspaces, and studies their properties. The dual space of к space M ( ,E,Y) ()  is investigated and with its help a generalized solution of extremal problems is introduced. We also study the properties of the spaces M(S,Y) and M(,E,Y) and study the existence of a generalized solution to the minimization problem.

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20

Junge, Marius, Zhong-Jin Ruan, and Quanhua Xu. "Rigid $\mathcal{OL}_p$structures of non-commutative $L_p$-spaces associated with hyperfinite von Neumann algebras." MATHEMATICA SCANDINAVICA 96, no. 1 (2005): 63. http://dx.doi.org/10.7146/math.scand.a-14945.

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This paper is devoted to the study of rigid local operator space structures on non-commutative $L_p$-spaces. We show that for $1\le p \neq 2 < \infty$, a non-commutative $L_p$-space $L_p(\mathcal M)$ is a rigid $\mathcal{OL}_p$ space (equivalently, a rigid $\mathcal{COL}_p$ space) if and only if it is a matrix orderly rigid $\mathcal{OL}_p$ space (equivalently, a matrix orderly rigid $\mathcal{COL}_p$ space). We also show that $L_p(\mathcal M)$ has these local properties if and only if the associated von Neumann algebra $\mathcal M$ is hyperfinite. Therefore, these local operator space prop

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21

Toralballa, L. V. "m-Dimensional Measure inn-Dimensional Euclidean Space,m ≦n." Mathematische Nachrichten 120, no. 1 (1985): 303–8. http://dx.doi.org/10.1002/mana.19851200125.

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22

Wójtowicz, Marek. "Isometries of Spaces of Radon Measures." Journal of Function Spaces 2017 (2017): 1–4. http://dx.doi.org/10.1155/2017/3850817.

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Let Ω and I denote a compact metrizable space with card(Ω)≥2 and the unit interval, respectively. We prove Milutin and Cantor-Bernstein type theorems for the spaces M(Ω) of Radon measures on compact Hausdorff spaces Ω. In particular, we obtain the following results: (1) for every infinite closed subset K of βN the spaces M(K), M(βN), and M(Ω2ℵ0) are order-isometric; (2) for every discrete space Γ with m≔card(Γ)>ℵ0 the spaces M(βΓ) and M(I2m) are order-isometric, whereas there is no linear homeomorphic injection from C(βT) into C(I2m).

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23

Jayanarayanan, C., та Sreejith Siju. "Ball proximinality of 𝑀-ideals of compact operators". Proceedings of the American Mathematical Society 149, № 8 (2021): 3395–405. http://dx.doi.org/10.1090/proc/15446.

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In this article, we prove the proximinality of closed unit ball of M M -ideals of compact operators on Banach spaces. We show that every positive (self-adjoint) operator on a Hilbert space has a positive (self-adjoint) compact approximant from the closed unit ball of space of compact operators. We also show that K ( ℓ 1 ) \mathcal {K}(\ell _1) , the space of compact operators on ℓ 1 \ell _1 , is ball proximinal in B ( ℓ 1 ) \mathcal {B}(\ell _1) , the space of bounded operators on ℓ 1 \ell _1 , even though K ( ℓ 1 ) \mathcal {K}(\ell _1) is not an M M -ideal in B ( ℓ 1 ) \mathcal {B}(\ell _1)

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24

Darojad, Rofiud, and Christiana Rini Indrati. "Some Fixed-Point Theorems on Quasi M-Metric Spaces." ITM Web of Conferences 75 (2025): 01001. https://doi.org/10.1051/itmconf/20257501001.

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In this paper, it will be discussed a metric that is constructed based on a quasi M-metric and a new definition of Cauchy sequences in quasi M-metric spaces. The discussion will be continued by giving a relationship between completeness in the quasi M-metric space and the constructed metric space. Furthermore, it will be developed some fixed-point theorems on quasi M-metric spaces.

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Okada, S., and W. J. Ricker. "Non-weak compactness of the integration map for vector measures." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 54, no. 3 (1993): 287–303. http://dx.doi.org/10.1017/s1446788700031797.

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AbstractLet m be a vector measure with values in a Banach space X. If L1(m) denotes the space of all m integrable functions then, with respect to the mean convergence topology, L1(m) is a Banach space. A natural operator associated with m is its integration map Im which sends each f of L1(m) to the element ∫fdm (of X). Many properties of the (continuous) operator Im are closely related to the nature of the space L1(m). In general, it is difficult to identify L1(m). We aim to exhibit non-trivial examples of measures m in (non-reflexive) spaces X for which L1(m) can be explicitly computed and su

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Figueroa-O’Farrill, José. "Symmetric M-theory backgrounds." Open Physics 11, no. 1 (2013): 1–36. http://dx.doi.org/10.2478/s11534-012-0160-6.

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AbstractWe classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M, g, F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form, satisfying the equations of motion of eleven-dimensional supergravity. The possible (M,g) are given either by (not necessarily nondegenerate) Cahen-Wallach spaces or by products AdSd × M11−d for 2 ⩽ d ⩽ 7 and M11−d a not necessarily irreducible riemannian symmetric space. In most cases we determine the corresponding F-moduli spaces.

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Arkowitz, Martin, and Gregory Lupton. "Loop-theoretic properties of H-spaces." Mathematical Proceedings of the Cambridge Philosophical Society 110, no. 1 (1991): 121–36. http://dx.doi.org/10.1017/s030500410007016x.

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If X is a topological space with base point, then a based map m: X × X → X is called a multiplication if m restricted to each factor of X × X is homotopic to the identity map of X. The pair (X, m) is then called an H-space. If A is a based topological space and (X, m) is an H-space, then the multiplication m induces a binary operation on the set [A, X] of based homotopy classes of maps of A into X. A classical result due to James [6, theorem 1·1 asserts that if A is a CW-complex and (X, m) is an H-space, then the binary operation gives [A, X] the structure of an algebraic loop. That is, [A, X]

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Fourie, J. H. "Absoluut sommerende vermenigvuldigers en die Dvoretzky-Rogers - stelling." Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 9, no. 2 (1990): 73–76. http://dx.doi.org/10.4102/satnt.v9i2.453.

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The space M(E) of absolutely summing multipliers of a Banach space E is considered. For some special types of Banach spaces E it turns out that M (E) can he characterized as an lᴾ-space of absolutely summable scalar sequences. We provide some important examples of Banach spaces for which the lᴾ-characterizations of M(E) hold true. The well known Dvoretzky-Rogers theorem plays an important role in these characterizations. An “alternative" version of the last mentioned theorem is discussed.

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Kamińska, A., and B. Turett. "Rotundity In Köthe Spaces of Vector-Valued Functions." Canadian Journal of Mathematics 41, no. 4 (1989): 659–75. http://dx.doi.org/10.4153/cjm-1989-030-2.

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In this paper, Köthe spaces of vector-valued functions are considered. These spaces, which are generalizations of both the Lebesgue-Bochner and Orlicz-Bochner spaces, have been studied by several people (e.g., see [1], [8]). Perhaps the earliest paper concerning the rotundity of such Köthe space is due to I. Halperin [8]. In his paper, Halperin proved that the function spaces E(X) is uniformly rotund exactly when both the Köthe space E and the Banach space X are uniformly rotund; this generalized the analogous result, due to M. M. Day [4], concerning Lebesgue-Bochner spaces. In [20], M. Smith

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30

SÄMANN, CHRISTIAN. "M-BRANE MODELS AND LOOP SPACES." Modern Physics Letters A 27, no. 20 (2012): 1230019. http://dx.doi.org/10.1142/s0217732312300194.

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I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu–Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models.

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Başar, Feyzi, and Hüsamettin Çapan. "On the paranormed space $\mathcal{M}_{u}(t)$ of double sequences." Boletim da Sociedade Paranaense de Matemática 37, no. 3 (2017): 99–111. http://dx.doi.org/10.5269/bspm.v37i3.32008.

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In this paper, we introduce the paranormed sequence space $\mathcal{M}_{u}(t)$ corresponding to the normed space $\mathcal{M}_{u}$ of bounded double sequences. We examine general topological properties of this space and determine its alpha-, beta- and gamma-duals. Furthermore, we characterize some classes of four-dimensional matrix transformations concerning this space and its dual spaces.

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Palca, Joseph. "Space research: Texas A & M fly space-grant kite." Nature 319, no. 6051 (1986): 252. http://dx.doi.org/10.1038/319252b0.

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De Squire, Maria Torres. "Multipliers from spaces of test functions to amalgams." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 54, no. 1 (1993): 97–110. http://dx.doi.org/10.1017/s1446788700037010.

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AbstractIn this paper we study the space of multipliers M(r, s: p, q) from the space of test functions Φrs(G), on a locally compact abelian group G, to amalgams (Lp, lq)(G); the former includes (when r = s = ∞) the space of continuous functions with compact support and the latter are extensions of the Lp(G) spaces. We prove that the space M(∞: p) is equal to the derived space (Lp)0 defined by Figá-Talamanca and give a characterization of the Fourier transform for amalgams in terms of these spaces of multipliers.

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Jevti{ć, Miroljub, and Miroslav Pavlovi{ć. "On $\mathcal{M}$-harmonic Bloch space." Proceedings of the American Mathematical Society 123, no. 5 (1995): 1385. http://dx.doi.org/10.1090/s0002-9939-1995-1264815-0.

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Gizis, John E., and I. Neill Reid. "Hubble Space TelescopeObservations of M Subdwarfs." Publications of the Astronomical Society of the Pacific 112, no. 771 (2000): 610–13. http://dx.doi.org/10.1086/316558.

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Kochetkov, Yu Yu. "Homologies of Moduli Space M 2,1." Journal of Mathematical Sciences 211, no. 3 (2015): 327–40. http://dx.doi.org/10.1007/s10958-015-2609-9.

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37

Klette, Reinhard. "The m-dimensional grid point space." Computer Vision, Graphics, and Image Processing 30, no. 1 (1985): 1–12. http://dx.doi.org/10.1016/0734-189x(85)90014-3.

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Klette, Reinhard. "The m-dimensional grid point space." Computer Vision, Graphics, and Image Processing 29, no. 3 (1985): 397. http://dx.doi.org/10.1016/0734-189x(85)90142-2.

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Chamblin, A., and N. D. Lambert. "De Sitter space from M-theory?" Physics Letters B 508, no. 3-4 (2001): 369–74. http://dx.doi.org/10.1016/s0370-2693(01)00536-6.

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Hamide, Dogan. "Vector Space Ideas Computing A^m." Journal of Progressive Research in Mathematics 11, no. 1 (2017): 1530–36. https://doi.org/10.5281/zenodo.3976588.

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We discuss an algorithm with a simplistic approach to solving systems of linear equations arising from the application of real-valued vector space ideas to the computation of the large powers of square matrices.

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Guo, Lifang, Rabia Bibi, Abeer Alshejari, Ekrem Savas, Tayyab Kamran, and Umar Ishtiaq. "Fixed-Point Results for Krasnoselskii, Meir–Keeler, and Boyd–Wong-Type Mappings with Applications to Dynamic Market Equilibrium." Axioms 13, no. 12 (2024): 867. https://doi.org/10.3390/axioms13120867.

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This paper introduces the idea of a cone m-hemi metric space, which extends the idea of an m-hemi metric space. By presenting non-trivial examples, we demonstrate the superiority of cone m-hemi metric spaces over m-hemi metric spaces. Further, we extend the Banach contraction principle and Krasnoselskii, Meir–Keeler, Boyd–Wong, and some other fixed-point results in the setting of complete and compact cone m-hemi metric spaces. Furthermore, we provide several non-trivial examples and applications to the Fredholm integral equation and dynamic market equilibrium to demonstrate the validity of the

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Mehmood, Faisal, and Fu-Gui Shi. "M-Hazy Vector Spaces over M-Hazy Field." Mathematics 9, no. 10 (2021): 1118. http://dx.doi.org/10.3390/math9101118.

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The generalization of binary operation in the classical algebra to fuzzy binary operation is an important development in the field of fuzzy algebra. The paper proposes a new generalization of vector spaces over field, which is called M-hazy vector spaces over M-hazy field. Some fundamental properties of M-hazy field, M-hazy vector spaces, and M-hazy subspaces are studied, and some important results are also proved. Furthermore, the linear transformation of M-hazy vector spaces is studied and their important results are also proved. Finally, it is shown that M-fuzzifying convex spaces are induc

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Longbing Cao, Ruwei Dai, and Mengchu Zhou. "Metasynthesis: M-Space, M-Interaction, and M-Computing for Open Complex Giant Systems." IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 39, no. 5 (2009): 1007–21. http://dx.doi.org/10.1109/tsmca.2009.2022414.

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SUN, MINGHE. "A MULTI-CLASS SUPPORT VECTOR MACHINE: THEORY AND MODEL." International Journal of Information Technology & Decision Making 12, no. 06 (2013): 1175–99. http://dx.doi.org/10.1142/s0219622013500338.

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A multi-class support vector machine (M-SVM) is developed, its dual is derived, its dual is mapped to high dimensional feature spaces using inner product kernels, and its performance is tested. The M-SVM is formulated as a quadratic programming model. Its dual, also a quadratic programming model, is very elegant and is easier to solve than the primal. The discriminant functions can be directly constructed from the dual solution. By using inner product kernels, the M-SVM can be built and nonlinear discriminant functions can be constructed in high dimensional feature spaces without carrying out

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45

Acharyya, Soumyadip, Rakesh Bharati, A. Deb Ray, and Sudip Kumar Acharyya. "A generalization of m-topology and U-topology on rings of measurable functions." Applied General Topology 26, no. 1 (2025): 287–301. https://doi.org/10.4995/agt.2025.21716.

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In this paper, we generalize mμ and Uμ topologies on M ( X , A ) via an ideal I in the ring M ( X , A ) of all real-valued measurable functions. The collection LI∞ ( μ ) of all essentially I-bounded functions over the measure space (X,A,μ)$ and the ideal Iμ (X,A) ={ f ∈ M (X,A) : for every g ∈ M(X,A), fg is essentially I-bounded } are the components of 0 in the space mμI and UμI respectively. Additionally, we obtain a chain of necessary and sufficient conditions as to when these two topologies coincide. In particular, it is proved that they coincide if and only if the three sets M(X,A), LI∞ (

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Suwais, Khaled, Nihal Taş, Nihal Özgür, and Nabil Mlaiki. "Fixed Point Theorems in Symmetric Controlled M-Metric Type Spaces." Symmetry 15, no. 9 (2023): 1665. http://dx.doi.org/10.3390/sym15091665.

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One of the frequently studied approaches in metric fixed-point theory is the generalization of the used metric space. Under this approach, in this study, we introduce a new extension of M-metric spaces, called controlled M-metric spaces, achieved by modifying the triangle inequality and keeping the symmetric condition of the space. The investigation focuses on exploring fundamental properties of this newly defined space, incorporating topological aspects. Several fixed-point theorems and fixed-circle results are established within these spaces complemented by illustrative examples to demonstra

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ATTARCHI, H., and M. M. REZAII. "CARTAN SPACES AND NATURAL FOLIATIONS ON THE COTANGENT BUNDLE." International Journal of Geometric Methods in Modern Physics 10, no. 03 (2013): 1250089. http://dx.doi.org/10.1142/s0219887812500892.

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In this paper, the natural foliations in cotangent bundle T*M of Cartan space (M, K) is studied. It is shown that geometry of these foliations are closely related to the geometry of the Cartan space (M, K) itself. This approach is used to obtain new characterizations of Cartan spaces with negative constant curvature.

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48

LEE, YUH-JIA, and CHEN-YUH SHIH. "THE RIESZ REPRESENTATION THEOREM ON INFINITE DIMENSIONAL SPACES AND ITS APPLICATIONS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 05, no. 01 (2002): 41–59. http://dx.doi.org/10.1142/s0219025702000705.

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Let H be a real separable Hilbert space and let E⊂H be a nuclear space with the chain {Em: m=1,2,…} of Hilbert spaces such that E = ∩m∈ℕEm. Let E* and E-m denote the dual spaces of E and Em, respectively. For γ > 0, let [Formula: see text] be the collection of complex-valued continuous functions f defined on E* such that [Formula: see text] is finite for every m. Then [Formula: see text] is a complete countably normed space equipping with the family {‖·‖m,γ : m = 1,2,…} of norms. Using a probabilistic approach, it is shown that every continuous linear functional T on [Formula: see text] can

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Mohammed, Ramadhan. "Bipolar Soft Minimal Structures." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5928. https://doi.org/10.29020/nybg.ejpam.v18i2.5928.

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The purpose of this paper is to introduce a new structure of bipolar soft topology called bipolar soft minimal structure. Later, we present most important operators in bipolar soft minimal spaces such as $\widetilde{\widetilde{\mathfrak{m}}}$-interior, $ \widetilde{\widetilde{\mathfrak{m}}} $-closure and $ \widetilde{\widetilde{\mathfrak{m}}} $-boundary. Moreover, we define $ \widetilde{\widetilde{\mathfrak{m}}} $-separated bipolar soft sets and bipolar soft $ \widetilde{\widetilde{\mathfrak{m}}} $-connected sets. Furthermore, we introduce a new concept of bipolar soft minimal spaces called bi

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He, Shaoyong, and Jiecheng Chen. "Calderón–Zygmund operators on multiparameter Lipschitz spaces of homogeneous type." Forum Mathematicum 34, no. 1 (2021): 175–96. http://dx.doi.org/10.1515/forum-2021-0204.

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Abstract The purpose of this paper is to establish a necessary and sufficient condition for the boundedness of general product singular integral operators introduced by Han, Li and Lin [Y. Han, J. Li and C.-C. Lin, Criterion of the L 2 L^{2} boundedness and sharp endpoint estimates for singular integral operators on product spaces of homogeneous type, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 16 2016, 3, 845–907] on the multiparameter Lipschitz spaces of homogeneous type M ~ = M 1 × ⋯ × M n {\tilde{M}=M_{1}\times\cdots\times M_{n}} . Each factor space M i {M_{i}} , 1 ≤ i ≤ n {1\leq i\leq n} , is

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