Optimal extensions of compactness properties for operators on Banach function spaces [PDF]
, 2015 Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact linear extension of a (weakly) compact
Jiménez Fernández, Eduardo +6 more
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PRODUCT FACTORABLE MULTILINEAR OPERATORS DEFINED ON SEQUENCE SPACES
, 2020 We prove a factorization theorem for multilinear operators acting in topological products of spaces of (scalar) p-summable sequences through a product. It is shown that this class of multilinear operators called product factorable maps coincides with the
ERDOĞAN, EZGİ
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Local and asymptotic approximations of nonlinear operators by (𝑘₁,…𝑘_{𝑁})-homogeneous operators
, 1973 Notions of local and asymptotic approximations of a nonlinear mapping F between normed linear spaces by a sum of N k i {k_i} -homogeneous operators are defined and investigated.
R. H. Moore, M. Z. Nashed
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Maximal Factorization of Operators Acting in Kothe-Bochner Spaces [PDF]
, 2021 [EN] Using some representation results for Kothe-Bochner spaces of vector valued functions by means of vector measures, we analyze the maximal extension for some classes of linear operators acting in these spaces.
Galaz-Fontes, F. +3 more
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Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey [PDF]
, 2022 [EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them.
Bonet Solves, José Antonio
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Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness [PDF]
, 2023 © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).We introduce a measure of super weak noncompactness Γ defined for bounded subsets and ...
Grelier, Guillaume Guy Marcel +1 more
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Different Types of Weighted Composition Operators on Banach Spaces of Analytic Functions [PDF]
, 2023 Many problems in real life are, at least approximatively, of linear nature and can be mathematically examined with the aid of linear spaces. It is natural to measure the size of objects occurring in the problems and such an operation is called a norm. If
Norrbo, David
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Karakterizacija ograničenih linearnih i kompaktnih operatora izmedju BK prostora [PDF]
, 2016 Within this thesis , the new sequence spaces are introduced and the similarities and the differences between the matrix transformations and the general linear bounded operators on BK spaces are considered.
Petković, Katarina I.
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Weak Convergence and Weak Convergence [PDF]
, 2015 In this article, we deal with weak convergence on sequences in real normed spaces, and weak* convergence on sequences in dual spaces of real normed spaces.
Shidama, Yasunari +2 more
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Collectively compact and collectively strictly singular sets of linear operators [PDF]
, 1994 Dissertation (MSc (Mathematics))--University of Pretoria, 1994.In this thesis the concept of collectively compact sets of operators is studied. As a reason for the study of such operators it is shown how collectively compact sets of operators are ...
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