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Journal articles on the topic 'Valued property'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Berkani, M., N. Castro, and S. V. Djordjević. "Single valued extension property and generalized Weyl’s theorem." Mathematica Bohemica 131, no. 1 (2006): 29–38. http://dx.doi.org/10.21136/mb.2006.134080.

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2

Dai, Lei, Xiao Hong Cao, and Qi Guo. "Property (ω) and the Single-valued Extension Property." Acta Mathematica Sinica, English Series 37, no. 8 (August 2021): 1254–66. http://dx.doi.org/10.1007/s10114-021-0436-0.

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3

Fanliang, Kong. "The estimation-valued property of B-valued asymptotic martingale*." Progress in Natural Science 16, no. 7 (July 1, 2006): 773–76. http://dx.doi.org/10.1080/10020070612330068.

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4

Takano, Mitio. "Subformula property in many-valued modal logics." Journal of Symbolic Logic 59, no. 4 (December 1994): 1263–73. http://dx.doi.org/10.2307/2275704.

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Fitting, in [1] and [2], investigated two families of many-valued modal logics. The first, which is somewhat familiar in the literature, is that of the logics characterized using a many-valued version of the Kripke model (binary modal model in his terminology) with a two-valued accessibility relation. On the other hand, those logics which are characterized using another many-valued version of the Kripke model (implicational modal model), with a many-valued accessibility relation, form the second family. Although he gave a sequent calculus for each of these logics, it is far from having the cut-elimination property (CEP) or the subformula property. So we will give a substitute for his system enjoying the subformula property, though it is not of ordinary sequent calculus but of the many-valued version of sequent calculus initiated by Takahashi [7] and Rousseau [3].The author, unaware of the deduction systems with CEP, had given in [8] and [9], after Rousseau [4], the deduction systems for the intuitionistic many-valued logics which enjoy CEP only for a certain restricted class of proofs. Then in [10], he gave for three-valued modal logics the ones with CEP, but these systems have a rule of inference which is unnecessary if the Cut rule is present. Why are we particular about CEP? The author's answer is that a cut-free proof is easy to examine since it is composed solely of subformulas of the formulas which form its conclusion. In this direction, the author has given, for modal logics with the Brouwerian axiom [11], the ones without CEP which nevertheless enjoy the subformula property. This paper is a sequel to the study in [11].

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5

Kim, Yoen-Ha, Eung-Il Ko, and Ji-Eun Lee. "OPERATORS WITH THE SINGLE VALUED EXTENSION PROPERTY." Bulletin of the Korean Mathematical Society 43, no. 3 (August 1, 2006): 509–17. http://dx.doi.org/10.4134/bkms.2006.43.3.509.

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6

Mykhaylyuk, Volodymyr. "Upper Namioka property of compact-valued mappings." Topology and its Applications 229 (September 2017): 70–84. http://dx.doi.org/10.1016/j.topol.2017.07.004.

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7

Chu, Hahng-Yun, Se-Hyun Ku, and Jong-Suh Park. "SHADOWING PROPERTY ON MULTI-VALUED DYNAMICAL SYSTEMS." Journal of the Chungcheong Mathematical Society 29, no. 1 (February 15, 2016): 171–76. http://dx.doi.org/10.14403/jcms.2016.29.1.171.

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8

Aiena, Pietro, T. Len Miller, and Michael M. Neumann. "On a Localised Single–Valued Extension Property." Mathematical Proceedings of the Royal Irish Academy 104, no. 1 (January 1, 2004): 17–34. http://dx.doi.org/10.3318/pria.2004.104.1.17.

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9

Cascales, B., and J. Orihuela. "A sequential property of set-valued maps." Journal of Mathematical Analysis and Applications 156, no. 1 (March 1991): 86–100. http://dx.doi.org/10.1016/0022-247x(91)90384-c.

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10

De Lucia, Paolo, and J. D. Maitland Wright. "Group valued measures with the lyapunoff property." Rendiconti del Circolo Matematico di Palermo 40, no. 3 (September 1991): 442–52. http://dx.doi.org/10.1007/bf02845079.

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11

MEESA, Rattiya, Vichian LAOHAKOSOL, and Tuangrat CHAICHANA. "Integer-valued polynomials satisfying the Lucas property." TURKISH JOURNAL OF MATHEMATICS 45, no. 3 (May 20, 2021): 1459–78. http://dx.doi.org/10.3906/mat-2102-104.

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12

NISAR, A. LONE, and T. A. CHISHTI. "Riemann intergability versus continuity for vector-valued functions." Creative Mathematics and Informatics 30, no. 1 (February 15, 2021): 49–60. http://dx.doi.org/10.37193/cmi.2021.01.06.

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The interplay between Riemann integrability and continuity is an interesting topic of modern analysis. In this paper, Riemann integrability of vector-valued continuous functions, property of Lebesgue and weak property of Lebesgue are surveyed and discussed. We also prove that `1(N, X) has the property of Lebesgue.

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13

Cao, Xiaohong, and Lei Dai. "The stability of the single valued extension property." Journal of Mathematical Analysis and Applications 390, no. 1 (June 2012): 368–73. http://dx.doi.org/10.1016/j.jmaa.2012.01.047.

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14

ENGLANDER, J., and R. PINSKY. "The compact support property for measure-valued processes." Annales de l'Institut Henri Poincare (B) Probability and Statistics 42, no. 5 (September 2006): 535–52. http://dx.doi.org/10.1016/j.anihpb.2005.07.001.

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15

Michael, E. "A note on a set-valued extension property." Topology and its Applications 158, no. 13 (August 2011): 1526–28. http://dx.doi.org/10.1016/j.topol.2011.04.012.

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16

Sun, Shan Li. "The single-valued extension property and spectral manifolds." Proceedings of the American Mathematical Society 118, no. 1 (January 1, 1993): 77. http://dx.doi.org/10.1090/s0002-9939-1993-1156474-0.

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17

Lange, Ridgley, and Shengwang Wang. "Cohyponormal operators with the single valued extension property." International Journal of Mathematics and Mathematical Sciences 9, no. 4 (1986): 659–63. http://dx.doi.org/10.1155/s0161171286000820.

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It is proved that in order to find a nontrivial hyperinvariant subspace for a cohyponormal operator it suffices to make the further assumption that the operator have the single-valued extension property.

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18

Gu, Rongbao, and Wenjing Guo. "On mixing property in set-valued discrete systems." Chaos, Solitons & Fractals 28, no. 3 (May 2006): 747–54. http://dx.doi.org/10.1016/j.chaos.2005.04.004.

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19

Díaz, Susana, Bernard De Baets, and Susana Montes. "On the Ferrers property of valued interval orders." TOP 19, no. 2 (February 21, 2010): 421–47. http://dx.doi.org/10.1007/s11750-010-0134-z.

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20

Dowling, Patrick N., Zhibao Hu, and Mark A. Smith. "Geometry of Spaces of Vector-Valued Harmonic Functions." Canadian Journal of Mathematics 46, no. 2 (April 1, 1994): 274–83. http://dx.doi.org/10.4153/cjm-1994-012-1.

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AbstractIt is shown that the space hp(D,X) has the Kadec-Klee property with respect to pointwise norm convergence in the Banach space X if and only if X has the Radon-Nikodym property and every point of the unit sphere of X is a denting point of the unit ball of X. In addition, it is shown that hp(D,X) is locally uniformly rotund if and only if X is locally uniformly rotund and has the Radon-Nikodym property.

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21

Roy, Priyanka, and Geetanjali Panda. "Expansion of Generalized Hukuhara Differentiable Interval Valued Function." New Mathematics and Natural Computation 15, no. 03 (October 7, 2019): 553–70. http://dx.doi.org/10.1142/s1793005719500327.

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In this paper, the concept of [Formula: see text]-monotonic property of interval valued function in higher dimension is introduced. Expansion of interval valued function in higher dimension is developed using this property. Generalized Hukuhara differentiability is used to derive the theoretical results. Several examples are provided to justify the theoretical developments.

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22

DERKS, JEAN J. M., and HANS H. HALLER. "NULL PLAYERS OUT? LINEAR VALUES FOR GAMES WITH VARIABLE SUPPORTS." International Game Theory Review 01, no. 03n04 (September 1999): 301–14. http://dx.doi.org/10.1142/s0219198999000220.

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The paper studies the consequences of the Null Player Out (NPO) property for single-valued solutions on the class of cooperative games in characteristic function form. We allow for variable player populations (supports or carriers). A solution satisfies the NPO property, if elimination of a null player does not affect the payoffs of the other players. Our main emphasis lies on individual values. For linear values satisfying the null player property and a weak symmetry property, necessary and sufficient conditions for the NPO property are derived.

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23

Bosch, Carlos, Salvador Pérez-Esteva, and Joaquín Motos. "The approximation property of some vector valued Sobolev-Slobodeckij spaces." International Journal of Mathematics and Mathematical Sciences 15, no. 3 (1992): 425–33. http://dx.doi.org/10.1155/s0161171292000577.

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In this paper we consider the Sobolev-Slobodeckij spacesWm,p(ℜn,E)whereEis a strict(LF)-space,m∈(0,∞)\ℕandp∈[1,∞). We prove thatWm,p(ℜn,E)has the approximation property providedEhas it, furthermore ifEis a Banach space with the strict approximation property thenWm,p(ℜn,E)has this property.

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24

STÄRK, ROBERT F. "CUT-PROPERTY AND NEGATION AS FAILURE." International Journal of Foundations of Computer Science 05, no. 02 (June 1994): 129–64. http://dx.doi.org/10.1142/s0129054194000086.

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What is the semantics of Negation-as-Failure in logic programming? We try to answer this question by proof-theoretic methods. A rule based sequent calculus is used in which a sequent is provable if, and only if, it is true in all three-valued models of the completion of a logic program. The main theorem is that proofs in the sequent calculus can be transformed into SLDNF-computations if, and only if, a program has the cut-property. A fragment of the sequent calculus leads to a sound and complete semantics for SLDNF-resolution with substitutions. It turns out that this version of SLDNF-resolution is sound and complete with respect to three-valued possible world models of the completion for arbitrary logic programs and arbitrary goals. Since we are dealing with possibly nonterminating computations and constructive proofs, three-valued possible world models seem to be an appropriate semantics.

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25

Jo, Dongsik, S. Saleh, Jeong-Gon Lee, Kul Hur, and Chen Xueyou. "Topological Structures via Interval-Valued Neutrosophic Crisp Sets." Symmetry 12, no. 12 (December 10, 2020): 2050. http://dx.doi.org/10.3390/sym12122050.

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In this paper, we introduce the new notion of interval-valued neutrosophic crisp sets providing a tool for approximating undefinable or complex concepts in real world. First, we deal with some of its algebraic structures. We also define an interval-valued neutrosophic crisp (vanishing) point and obtain some of its properties. Next, we define an interval-valued neutrosophic crisp topology, base (subbase), neighborhood, and interior (closure), respectively and investigate some of each property, and give some examples. Finally, we define an interval-valued neutrosophic crisp continuity and quotient topology and study some of each property.

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26

Randrianantoanina, Narcisse. "Pełczyński's Property (V) on spaces of vector-valued functions." Colloquium Mathematicum 71, no. 1 (1996): 63–78. http://dx.doi.org/10.4064/cm-71-1-63-78.

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27

Fernandez, D., and J. Garcia. "Interpolation of Orlicz-valued function spaces and U.M.D. property." Studia Mathematica 99, no. 1 (1991): 23–40. http://dx.doi.org/10.4064/sm-99-1-23-40.

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28

Aiena, Pietro, and Vladimir Muller. "The localized single-valued extension property and Riesz operators." Proceedings of the American Mathematical Society 143, no. 5 (December 1, 2014): 2051–55. http://dx.doi.org/10.1090/s0002-9939-2014-12404-x.

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29

Chabert, Jean-Luc, Scott T. Chapman, and William W. Smith. "The Skolem property in rings of integer-valued polynomials." Proceedings of the American Mathematical Society 126, no. 11 (1998): 3151–59. http://dx.doi.org/10.1090/s0002-9939-98-04376-7.

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30

Gilmer, Robert, William Heinzer, and David Lantz. "The Noetherian property in rings of integer-valued polynomials." Transactions of the American Mathematical Society 338, no. 1 (January 1, 1993): 187–99. http://dx.doi.org/10.1090/s0002-9947-1993-1097166-0.

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31

Thomas, Becker. "Valued fields with a universal embedding property andηα-structures." Communications in Algebra 18, no. 10 (January 1990): 3565–76. http://dx.doi.org/10.1080/00927879008824091.

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32

Naralenkov, K. M. "A Lusin type measurability property for vector-valued functions." Journal of Mathematical Analysis and Applications 417, no. 1 (September 2014): 293–307. http://dx.doi.org/10.1016/j.jmaa.2014.03.029.

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33

Fernández, Fiedel J., and P. Jiménez Guerra. "On the Radon-Nikodym property for operator valued measures." Periodica Mathematica Hungarica 22, no. 3 (June 1991): 147–51. http://dx.doi.org/10.1007/bf01960504.

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34

Pȩkala, Barbara, Urszula Bentkowska, and Bernard De Baets. "On Comparability Relations in the Class of Interval-Valued Fuzzy Relations." Tatra Mountains Mathematical Publications 66, no. 1 (June 1, 2016): 91–101. http://dx.doi.org/10.1515/tmmp-2016-0023.

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Abstract In this paper, a new relation for the set of interval-valued fuzzy relations is introduced. This relation is an interval order for the family of intervals and for the family of interval-valued fuzzy relations in a given set, it has the reflexivity property. Consequences of considering such a relation are studied in the context of operations on interval-valued fuzzy relations. A new transitivity property, namely possible T-transitivity is studied (pos-T-transitivity for short). This transitivity property is connected with the new relation proposed in this paper. Preservation of this type of transitivity by some operations is also discussed.

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35

Dey, Rinku, Nanda Ram Das, and Binod Chandra Tripathy. "Ordered Vector Valued Double Sequence Spaces." Fasciculi Mathematici 55, no. 1 (December 1, 2015): 29–34. http://dx.doi.org/10.1515/fascmath-2015-0012.

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AbstractIn this paper we have introduced an order relation on convergent double sequences and have constructed an ordered vector space, Riesz space, order complete vector space in case of double sequences. We have verified the Archimedean property.

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36

Liu, Yicheng, Jun Wu, and Zhixiang Li. "Common fixed points of single-valued and multivalued maps." International Journal of Mathematics and Mathematical Sciences 2005, no. 19 (2005): 3045–55. http://dx.doi.org/10.1155/ijmms.2005.3045.

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We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.

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37

Rideau, Silvain. "SOME PROPERTIES OF ANALYTIC DIFFERENCE VALUED FIELDS." Journal of the Institute of Mathematics of Jussieu 16, no. 3 (May 29, 2015): 447–99. http://dx.doi.org/10.1017/s1474748015000183.

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We prove field quantifier elimination for valued fields endowed with both an analytic structure that is $\unicode[STIX]{x1D70E}$-Henselian and an automorphism that is $\unicode[STIX]{x1D70E}$-Henselian. From this result we can deduce various Ax–Kochen–Eršov type results with respect to completeness and the independence property. The main example we are interested in is the field of Witt vectors on the algebraic closure of $\mathbb{F}_{p}$ endowed with its natural analytic structure and the lifting of the Frobenius. It turns out we can give a (reasonable) axiomatization of its first-order theory and that this theory does not have the independence property.

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38

Moraga, Claudio. "On a property of the Reed-Muller-Fourier transform." Facta universitatis - series: Electronics and Energetics 31, no. 2 (2018): 303–11. http://dx.doi.org/10.2298/fuee1802303m.

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The Reed-Muller-Fourier is reviewed and a new property is presented: The Reed-Muller-Fourier transform of an n-place p-valued function preserves any permutation of the arguments. This leads to the additional result that the Reed-Muller-Fourier spectrum of an n-place p-valued symmetric function is also symmetric. Furthermore, the Reed-Muller and the Vilenkin-Chrestenson spectra of an n-place p-valued symmetric function are also symmetric.

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39

Ozgur, Nihal, Nihal Taş, and James Francis Peters. "New complex-valued activation functions." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 10, no. 1 (January 14, 2020): 66–72. http://dx.doi.org/10.11121/ijocta.01.2020.00756.

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We present a new type of activation functions for a complex-valued neuralnetwork (CVNN). A proposed activation function is constructed such that itfixes a given ellipse. We obtain an application to a complex-valued Hopfieldneural network (CVHNN) using a special form of the introduced complexfunctions as an activation function. Considering the interesting geometricproperties of the plane curve ellipse such as focusing property, weemphasize that these properties may have possible applications in variousneural networks.

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40

Papageorgiou, Nikolaos S. "On the continuity of the vector valued and set valued conditional expectations." International Journal of Mathematics and Mathematical Sciences 12, no. 3 (1989): 477–86. http://dx.doi.org/10.1155/s016117128900061x.

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In this paper we study the dependence of the vector valued conditional expectation (for both single valued and set valued random variables), on the σ–field and random variable that determine it. So we prove that it is continuous for theL1(X)convergence of the sub–σ–fields and of the random variables. We also present a sufficient condition for theL1(X)–convergence of the sub–σ–fields. Then we extend the work to the set valued conditional expectation using the Kuratowski–Mosco (K–M) convergence and the convergence in the Δ–metric. We also prove a property of the set valued conditional expectation.

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41

Piazza, Luisa Di, and Kazimierz Musiał. "Decompositions of Weakly Compact Valued Integrable Multifunctions." Mathematics 8, no. 6 (May 26, 2020): 863. http://dx.doi.org/10.3390/math8060863.

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We give a short overview on the decomposition property for integrable multifunctions, i.e., when an “integrable in a certain sense” multifunction can be represented as a sum of one of its integrable selections and a multifunction integrable in a narrower sense. The decomposition theorems are important tools of the theory of multivalued integration since they allow us to see an integrable multifunction as a translation of a multifunction with better properties. Consequently, they provide better characterization of integrable multifunctions under consideration. There is a large literature on it starting from the seminal paper of the authors in 2006, where the property was proved for Henstock integrable multifunctions taking compact convex values in a separable Banach space X. In this paper, we summarize the earlier results, we prove further results and present tables which show the state of art in this topic.

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42

Boulanger, Jacques, and Jean-Luc Chabert. "Integer-valued polynomials, Prüfer domains and the stacked bases property." Journal of Pure and Applied Algebra 224, no. 1 (January 2020): 388–401. http://dx.doi.org/10.1016/j.jpaa.2019.05.011.

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43

YOO, JONG-KWANG. "THE LOCALIZED SINGLE-VALUED EXTENSION PROPERTY AND LOCAL SPECTRAL THEORY." Journal of the Chungcheong Mathematical Society 28, no. 3 (August 15, 2015): 419–29. http://dx.doi.org/10.14403/jcms.2015.28.3.419.

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44

Aiena, Pietro, and Osmin Monsalve. "Operators Which Do Not Have the Single Valued Extension Property." Journal of Mathematical Analysis and Applications 250, no. 2 (October 2000): 435–48. http://dx.doi.org/10.1006/jmaa.2000.6966.

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45

Olofsson, Anders. "An expansive multiplier property for operator-valued Bergman inner functions." Mathematische Nachrichten 282, no. 10 (October 2009): 1451–60. http://dx.doi.org/10.1002/mana.200610807.

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46

Abtahi, Fatemeh, Zeinab Kamali, and Maryam Toutounchi. "The Bochner-Schoenberg-Eberlein property for vector-valued Lipschitz algebras." Journal of Mathematical Analysis and Applications 479, no. 1 (November 2019): 1172–81. http://dx.doi.org/10.1016/j.jmaa.2019.06.073.

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47

Bourhim, A., and C. E. Chidume. "The single-valued extension property for bilateral operator weighted shifts." Proceedings of the American Mathematical Society 133, no. 2 (September 8, 2004): 485–91. http://dx.doi.org/10.1090/s0002-9939-04-07535-5.

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48

Matignon, Michel, and Jack Ohm. "Simple transcendental extensions of valued fields III : The uniqueness property." Journal of Mathematics of Kyoto University 30, no. 2 (1990): 347–66. http://dx.doi.org/10.1215/kjm/1250520076.

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49

Zhang, Qinghua, and Gang Li. "On the X(⋅)-valued function space: Definition, property and applications." Journal of Mathematical Analysis and Applications 440, no. 1 (August 2016): 48–64. http://dx.doi.org/10.1016/j.jmaa.2016.03.026.

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50

Blasco, José L., and C. Ivorra. "Injective spaces of real-valued functions with the baire property." Israel Journal of Mathematics 91, no. 1-3 (October 1995): 341–48. http://dx.doi.org/10.1007/bf02761655.

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