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Journal articles on the topic 'Non compact symmetrizable operators'

Author: Grafiati

Published: 4 June 2021

Last updated: 18 February 2022

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1

Mokhtar-Kharroubi, Mustapha, and Yahya Mohamed. "Spectral analysis of non-compact symmetrizable operators on Hilbert spaces." Mathematical Methods in the Applied Sciences 38, no. 11 (2014): 2316–35. http://dx.doi.org/10.1002/mma.3223.

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2

Kürsten, Klaus-Detlef, and Albrecht Pietsch. "Non-approximable compact operators." Archiv der Mathematik 103, no. 6 (2014): 473–80. http://dx.doi.org/10.1007/s00013-014-0700-y.

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3

González, Manuel. "Representing non-weakly compact operators." Studia Mathematica 113, no. 3 (1995): 265–82. http://dx.doi.org/10.4064/sm-113-3-265-282.

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4

Martínez-Avendaño, Ruben, and Peter Yuditskii. "Non-Compact $\lambda$-Hankel Operators." Zeitschrift für Analysis und ihre Anwendungen 21, no. 4 (2002): 891–99. http://dx.doi.org/10.4171/zaa/1115.

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5

Yang, Tong, and Changjiang Zhu. "Non-existence of global smooth solutions to symmetrizable nonlinear hyperbolic systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 133, no. 3 (2003): 719–28. http://dx.doi.org/10.1017/s0308210500002626.

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In this paper, we consider the Cauchy problem of general symmetrizable hyperbolic systems in multi-dimensional space. When some components of the initial data have compact support, we give a sufficient condition on the non-existence of global C1 solutions. This non-existence theorem can be applied to some physical systems, such as Euler equations for compressible flow in multi-dimensional space. The blow-up phenomena here can come from the singularity developed at the interface, such as vacuum boundary, rather than the shock formation as studied in the previous works on strictly hyperbolic sys

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6

Banakh, Iryna, and Taras Banakh. "Constructing non-compact operators into c0." Studia Mathematica 201, no. 1 (2010): 65–67. http://dx.doi.org/10.4064/sm201-1-5.

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7

Bento, AJG. "Interpolation of compact non-linear operators." Journal of Inequalities and Applications 2000, no. 3 (2000): 862170. http://dx.doi.org/10.1155/s1025583400000126.

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8

Cavalier, L. "Inverse problems with non-compact operators." Journal of Statistical Planning and Inference 136, no. 2 (2006): 390–400. http://dx.doi.org/10.1016/j.jspi.2004.06.063.

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9

Farsi, Carla. "Dirac operators on non-compact orbifolds." Journal of Geometry and Physics 59, no. 2 (2009): 197–206. http://dx.doi.org/10.1016/j.geomphys.2008.10.010.

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10

Cobos, Fernando. "On Interpolation of Compact Non-Linear Operators." Bulletin of the London Mathematical Society 22, no. 3 (1990): 273–80. http://dx.doi.org/10.1112/blms/22.3.273.

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11

Breckner, Brigitte E., and Gheorghe Şimon. "On the (non-)surjectivity of compact operators." Archiv der Mathematik 113, no. 1 (2019): 73–79. http://dx.doi.org/10.1007/s00013-019-01321-w.

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12

Fanelli, Francesco. "Some local questions for hyperbolic systems with non-regular time dependent coefficients." Journal of Hyperbolic Differential Equations 14, no. 02 (2017): 301–22. http://dx.doi.org/10.1142/s0219891617500084.

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We investigate local properties for microlocally symmetrizable hyperbolic systems with just time dependent coefficients. Thanks to Paley–Wiener theorem, we establish finite propagation speed by showing precise estimates on the evolution of the support of the solution in terms of suitable norms of the coefficients of the operator and of the symmetrizer. From this result, local existence and uniqueness follow by quite standard methods. Our argument relies on the use of Fourier transform, and it cannot be extended to operators whose coefficients depend also on the space variables. On the other ha

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13

de Grande-de Kimpe, N., and J. Martinez-Maurica. "Compact-like operators between non-archimedean normed spaces." Indagationes Mathematicae (Proceedings) 92, no. 4 (1989): 421–33. http://dx.doi.org/10.1016/1385-7258(89)90005-x.

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14

Mena Jurado, Juan Francisco, and Ángel Rodri´guez Palacios. "Weakly compact operators on non-complete normed spaces." Expositiones Mathematicae 27, no. 2 (2009): 143–51. http://dx.doi.org/10.1016/j.exmath.2008.10.005.

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15

AMINI, MASSOUD, MEHRDAD KALANTAR, ALIREZA MEDGHALCHI, AHMAD MOLLAKHALILI, and MATTHIAS NEUFANG. "COMPACT ELEMENTS AND OPERATORS OF QUANTUM GROUPS." Glasgow Mathematical Journal 59, no. 2 (2016): 445–62. http://dx.doi.org/10.1017/s0017089516000276.

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AbstractA locally compact group G is compact if and only if its convolution algebras contain non-zero (weakly) completely continuous elements. Dually, G is discrete if its function algebras contain non-zero completely continuous elements. We prove non-commutative versions of these results in the case of locally compact quantum groups.

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16

Kalantar, Mehrdad. "Compact Operators in Regular LCQ Groups." Canadian Mathematical Bulletin 57, no. 3 (2014): 546–50. http://dx.doi.org/10.4153/cmb-2013-003-5.

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AbstractWe show that a regular locally compact quantum group 𝔾 is discrete if and only if 𝓛∞(𝔾) contains non-zero compact operators on 𝓛2(𝔾). As a corollary we classify all discrete quantum groups among regular locally compact quantum groups 𝔾 where 𝓛1(𝔾) has the Radon-Nikodym property.

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17

Simonic, Aleksander. "An Extension of Lomonosov’s Techniques to Non-compact Operators." Transactions of the American Mathematical Society 348, no. 3 (1996): 975–95. http://dx.doi.org/10.1090/s0002-9947-96-01612-1.

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18

Dodds, P. G., and B. de Pagter. "Completely positive compact operators on non-commutative symmetric spaces." Positivity 14, no. 4 (2010): 665–79. http://dx.doi.org/10.1007/s11117-010-0073-9.

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19

Hofmann, Bernd, and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Compact and Non-Compact Operators." Zeitschrift für Analysis und ihre Anwendungen 18, no. 2 (1999): 267–86. http://dx.doi.org/10.4171/zaa/881.

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20

Elqorachi, E., M. Akkouchi, A. Bakali, and B. Bouikhalene. "Badora's Equation on Non-Abelian Locally Compact Groups." gmj 11, no. 3 (2004): 449–66. http://dx.doi.org/10.1515/gmj.2004.449.

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Abstract This paper is mainly concerned with the following functional equation where 𝐺 is a locally compact group, 𝐾 a compact subgroup of its morphisms, and μ is a generalized Gelfand measure. It is shown that continuous and bounded solutions of this equation can be expressed in terms of μ-spherical functions. This extends the previous results obtained by Badora (Aequationes Math. 43: 72–89, 1992) on locally compact abelian groups. In the case where 𝐺 is a connected Lie group, we characterize solutions of the equation in question as joint eigenfunctions of certain operators associated to the

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21

Redner, Oliver. "DISCRETE APPROXIMATION OF NON-COMPACT OPERATORS DESCRIBING CONTINUUM-OF-ALLELES MODELS." Proceedings of the Edinburgh Mathematical Society 47, no. 2 (2004): 449–72. http://dx.doi.org/10.1017/s0013091503000476.

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AbstractWe consider the eigenvalue equation for the largest eigenvalue of certain kinds of non-compact linear operators given as the sum of a multiplication and a kernel operator. It is shown that, under moderate conditions, such operators can be approximated arbitrarily well by operators of finite rank, which constitutes a discretization procedure. For this purpose, two standard methods of approximation theory, the Nyström and the Galerkin method, are generalized. The operators considered describe models for mutation and selection of an infinitely large population of individuals that are labe

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22

Sawano, Yoshihiro, and Satoru Shirai. "Compact Commutators on Morrey Spaces with Non-Doubling Measures." gmj 15, no. 2 (2008): 353–76. http://dx.doi.org/10.1515/gmj.2008.353.

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Abstract We study multi-commutators on the Morrey spaces generated by BMO functions and singular integral operators or by BMO functions and fractional integral operators. We place ourselves in the setting of coming with a Radon measure μ which satisfies a certain growth condition. The Morrey-boundedness of commutators is established by M. Yan and D. Yang. However, the corresponding assertion of Morrey-compactness is still missing. The aim of this paper is to prove that the multi-commutators are compact if one of the BMO functions can be approximated with compactly supported smooth functions.

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23

Kiyosawa, Takemitsu. "On Spaces of Compact Operators in Non-Archimedean Banach Spaces." Canadian Mathematical Bulletin 32, no. 4 (1989): 450–58. http://dx.doi.org/10.4153/cmb-1989-065-x.

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AbstractLet K be a non-trivial complete non-Archimedean valued field and let E be an infinite-dimensional Banach space over K. Some of the main results are:(1) K is spherically complete if and only if every weakly convergent sequence in l∞ is norm-convergent.(2) If the valuation of K is dense, then C0 is complemented in E if and only if C(E,c0) is n o t complemented in L(E,c0), where L(E,c0) is the space of all continuous linear operators from E to c0 and C(E,c0) is the subspace of L(E, c0) consisting of all compact linear operators.

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24

Tylli, H. O. "Lifting Non-topological Divisors of Zero modulo the Compact Operators." Journal of Functional Analysis 125, no. 2 (1994): 389–415. http://dx.doi.org/10.1006/jfan.1994.1130.

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25

Gasparis, I. "Strictly singular non-compact operators on hereditarily indecomposable Banach spaces." Proceedings of the American Mathematical Society 131, no. 4 (2002): 1181–89. http://dx.doi.org/10.1090/s0002-9939-02-06657-1.

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26

DOBREV, V. K. "INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS." Reviews in Mathematical Physics 20, no. 04 (2008): 407–49. http://dx.doi.org/10.1142/s0129055x08003341.

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In the present paper, we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients — the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalized to the supersymmetric and quantum group settings and is necessary for applications to string theory and integrable models.

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27

Galindo, Pablo, and Alejandro Miralles. "Spectra of Non Power-compact Composition Operators on H∞ Spaces." Integral Equations and Operator Theory 65, no. 2 (2009): 211–22. http://dx.doi.org/10.1007/s00020-009-1715-9.

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28

Seiler, J�rg. "Mellin and green pseudodifferential operators associated with non-compact edges." Integral Equations and Operator Theory 31, no. 2 (1998): 214–45. http://dx.doi.org/10.1007/bf01214251.

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29

Kavkler, Iztok. "Similarity invariant semigroups generated by non-Fredholm operators." Bulletin of the Australian Mathematical Society 72, no. 3 (2005): 407–21. http://dx.doi.org/10.1017/s0004972700035243.

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Let A ∈ B(H) be a bounded non-compact operator that is not semi-Fredholm. The similarity invariant semigroup generated by A is shown to consist of all operators that are not semi-Fredholm and satisfy obvious inequalities for the nullity and co-nullity.

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30

Sharma, Ajay K., and S. D. Sharma. "Composition operators on weighted Bergman-Orlicz spaces." Bulletin of the Australian Mathematical Society 75, no. 2 (2007): 273–87. http://dx.doi.org/10.1017/s0004972700039204.

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In this paper, composition operators acting on Bergman-Orlicz spaces are studied, where ψ is a non-constant, non-decreasing convex function defined on (-∞, ∞) which satisfies the growth condition . In fact, under a mild condition on ∞, we show that every holomorphic-self map ∞ of induces a bounded composition operator on and C∞ is compact on if and only if it is compact on .

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31

Oniani, Giorgi. "On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces." gmj 13, no. 3 (2006): 501–14. http://dx.doi.org/10.1515/gmj.2006.501.

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Abstract A resonance type theorem is proved, where conditions are given, which imply the non-compactness and a certain estimation of the measure of the non-compactness of operators in weighted ideal and symmetric function spaces. The application of the theorem to some concrete classes of operators is discussed.

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32

BAUER, WOLFRAM, and KENRO FURUTANI. "COMPACT OPERATORS AND THE PLURIHARMONIC BEREZIN TRANSFORM." International Journal of Mathematics 19, no. 06 (2008): 645–69. http://dx.doi.org/10.1142/s0129167x08004832.

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For a series of weighted Bergman spaces over bounded symmetric domains in ℂn, it has been shown by Axler and Zheng [1]; Englis [10] that the compactness of Toeplitz operators with bounded symbols can be characterized via the boundary behavior of its Berezin transform B a . In case of the pluriharmonic Bergman space, the pluriharmonic Berezin transform B ph fails to be one-to-one in general and even has non-compact operators in its kernel. From this point of view, perhaps surprisingly we show that via B ph the same characterization of compactness holds for Toeplitz operators on the pluriharmoni

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33

Gérard, Patrick, and Sandrine Grellier. "Inverse spectral problems for compact Hankel operators." Journal of the Institute of Mathematics of Jussieu 13, no. 2 (2013): 273–301. http://dx.doi.org/10.1017/s1474748013000121.

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AbstractGiven two arbitrary sequences $({\lambda }_{j} )_{j\geq 1} $ and $({\mu }_{j} )_{j\geq 1} $ of real numbers satisfying $$\begin{eqnarray*}\displaystyle \vert {\lambda }_{1} \vert \gt \vert {\mu }_{1} \vert \gt \vert {\lambda }_{2} \vert \gt \vert {\mu }_{2} \vert \gt \cdots \gt \vert {\lambda }_{j} \vert \gt \vert {\mu }_{j} \vert \rightarrow 0, &&\displaystyle\end{eqnarray*}$$ we prove that there exists a unique sequence $c= ({c}_{n} )_{n\in { \mathbb{Z} }_{+ } } $, real valued, such that the Hankel operators ${\Gamma }_{c} $ and ${\Gamma }_{\tilde {c} } $ of symbols $c= ({c}_

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34

Ahues, Mario. "A class of strongly stable operator approximations." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 28, no. 4 (1987): 435–42. http://dx.doi.org/10.1017/s0334270000005518.

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AbstractWe show the strongly stable convergence of some non-collectively-compact approximations of compact operators. Special attention is devoted to Anselone's singularity subtraction discretization of certain singular integral operators. Numerical experiments are provided.

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35

Fegan, H. D. "Second Order Operators with Non-Zero Eta Invariant." Canadian Mathematical Bulletin 35, no. 3 (1992): 341–53. http://dx.doi.org/10.4153/cmb-1992-046-0.

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AbstractWe give an example of an elliptic second order pseudodifferential operator with a non-zero eta invariant. The operator is constructed on homogeneous bundles over compact Lie groups and is formed by composing differential operators and an operator of class In general it is not elliptic but in the special case of even dimensional bundles over SU(2) it is elliptic. The eta invariant is calculated in the special case and in the non elliptic case a difference eta invariant is obtained.

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36

Babahmed, M., and A. El asri. "Invariant subspace problem and compact operators on non-Archimedean Banach spaces." Extracta Mathematicae 35, no. 2 (2020): 205–19. http://dx.doi.org/10.17398/2605-5686.35.2.205.

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37

Manoussakis, Antonis, and Anna Pelczar-Barwacz. "Strictly singular non-compact operators on a class of HI spaces." Bulletin of the London Mathematical Society 45, no. 3 (2012): 463–82. http://dx.doi.org/10.1112/blms/bds111.

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38

Almog, Yaniv, and Bernard Helffer. "On the Spectrum of Non-Selfadjoint Schrödinger Operators with Compact Resolvent." Communications in Partial Differential Equations 40, no. 8 (2015): 1441–66. http://dx.doi.org/10.1080/03605302.2015.1025978.

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39

Anghel, Nicolae. "Magnetic Schrödinger Operators with Discrete Spectra on Non-Compact Kähler Manifolds." Analele Universitatii "Ovidius" Constanta - Seria Matematica 20, no. 2 (2012): 11–20. http://dx.doi.org/10.2478/v10309-012-0035-2.

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Abstract We identify a class of magnetic Schrödinger operators on Käler manifolds which exhibit pure point spectrum. To this end we embed the Schröinger problem into a Dirac-type problem via a parallel spinor and use a Bochner-Weitzenböck argument to prove our spectral discreteness criterion

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40

Milatovic, Ognjen. "Separation property for Schrödinger operators inLp-spaces on non-compact manifolds." Complex Variables and Elliptic Equations 58, no. 6 (2013): 853–64. http://dx.doi.org/10.1080/17476933.2011.625090.

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41

GÉrard, P., and A. Pushnitski. "INVERSE SPECTRAL THEORY FOR A CLASS OF NON‐COMPACT HANKEL OPERATORS." Mathematika 65, no. 1 (2018): 132–56. http://dx.doi.org/10.1112/s0025579318000281.

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42

Gonzalez, Manuel, and Victor M. Onieva. "On the instability of non-semi-Fredholm operators under compact perturbations." Journal of Mathematical Analysis and Applications 114, no. 2 (1986): 450–57. http://dx.doi.org/10.1016/0022-247x(86)90098-3.

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43

Drnovšek, Roman. "Spectral inequalities for compact integral operators on Banach function spaces." Mathematical Proceedings of the Cambridge Philosophical Society 112, no. 3 (1992): 589–98. http://dx.doi.org/10.1017/s0305004100071279.

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AbstractThis article generalizes some spectral inequalities for non-negative matrices (see [2] and [3]) to compact integral operators with non-negative kernels defined on Banach function spaces. The spectral radius of a sum of such operators is estimated under certain conditions and a generalization of this inequality is given. An inequality for the spectral radius of a compact integral operator with the kernel equal to a weighted geometric mean of non-negative kernels is also proved.

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44

Runde, Volker. "Local spectral properties of convolution operators on non-abelian groups." Proceedings of the Edinburgh Mathematical Society 39, no. 1 (1996): 143–49. http://dx.doi.org/10.1017/s0013091500022859.

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Let G be a Moore group. Then, for each f∈L1(G), the convolution operator Lf: L1(G)→L1(G) is decomposable. On the other hand, there is a discrete probability measure µ on a compact group G such that Lµ: Ll(G)→Ll(G) fails to be decomposable.

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45

Mehdi, S., and P. Pandžić. "Representation theoretic embedding of twisted Dirac operators." Representation Theory of the American Mathematical Society 25, no. 26 (2021): 760–79. http://dx.doi.org/10.1090/ert/583.

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Let G G be a non-compact connected semisimple real Lie group with finite center. Suppose L L is a non-compact connected closed subgroup of G G acting transitively on a symmetric space G / H G/H such that L ∩ H L\cap H is compact. We study the action on L / L ∩ H L/L\cap H of a Dirac operator D G / H ( E ) D_{G/H}(E) acting on sections of an E E -twist of the spin bundle over G / H G/H . As a byproduct, in the case of ( G , H , L ) = ( S L ( 2 , R ) × S L ( 2 , R ) , Δ ( S L ( 2 , R ) × S L ( 2 , R ) ) , S L ( 2 , R ) × S O ( 2 ) ) (G,H,L)=(SL(2,{\mathbb R})\times SL(2,{\mathbb R}),\Delta (SL(2

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46

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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47

Gil’, Michael. "Inequalities for eigenvalues of compact operators in a Hilbert space." Communications in Contemporary Mathematics 18, no. 01 (2016): 1550022. http://dx.doi.org/10.1142/s0219199715500224.

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Let [Formula: see text] be a compact operator in a separable Hilbert space and [Formula: see text] be the eigenvalues of [Formula: see text] with their multiplicities enumerated in the non-increasing order of their absolute values. We prove the inequality [Formula: see text] where [Formula: see text] and [Formula: see text] are the singular values of [Formula: see text] and of [Formula: see text], respectively, enumerated with their multiplicities in the non-increasing order. This result refines the classical inequality [Formula: see text]

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48

Alvarez, Jose A., Teresa Alvarez, and Manuel Gonzalez. "The gap between subspaces and perturbation of non-semi-Fredholm operators." Bulletin of the Australian Mathematical Society 45, no. 3 (1992): 369–76. http://dx.doi.org/10.1017/s0004972700030264.

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We study a concept of stability under the gap of isomorphic properties of Banach spaces and apply it to obtain some results of stability under compact or small norm perturbation for non-semi-Fredholm operators with closed range.

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49

Amini, S., and I. H. Sloan. "Collocation methods for the second kind integral equations with non-compact operators." Journal of Integral Equations and Applications 2, no. 1 (1989): 1–30. http://dx.doi.org/10.1216/jie-1989-2-1-1.

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50

Das, Anupam, and Bipan Hazarika. "Some new Fibonacci difference spaces of non-absolute type and compact operators." Linear and Multilinear Algebra 65, no. 12 (2017): 2551–73. http://dx.doi.org/10.1080/03081087.2017.1278738.

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