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Compact and limited operators [PDF]
Mathematische Nachrichten, 2021 AbstractLet be a bounded linear operator between two real normed spaces. We characterize compactness of T in terms of differentiability of the Lipschitz functions defined on X with values in another normed space Z. Furthermore, using a similar technique we can also characterize finite rank operators in terms of differentiability of a wider class of ...
Bachir, Mohammed +2 more
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Interpolation of compact bilinear operators [PDF]
Bulletin of Mathematical Sciences, 2020 This paper is devoted to the study of the stability of the compactness property of bilinear operators acting on the products of interpolated Banach spaces.
Mieczysław Mastyło, Eduardo B. Silva
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Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators
Journal of Mathematics, 2023 We introduce the class of unbounded M-weakly compact operators and the class of unbounded L-weakly compact operators. We investigate some properties for this new classification of operators, and we study the relation between them and M-weakly compact and
Zahra Niktab +3 more
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Some characterizations of surjective operators on banach lattices [PDF]
Journal of Hyperstructures, 2018 The concepts of compact and weakly compact operators on Banach spaces are considered and investigated in several papers. In this paper, taking idea from this notations, we consider the concept surjective compact and weakly compact operators on Banach ...
Akbar Bahramnezhad, Kazem Haghnejad Azar
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Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 Let V ;Wâ and W be the operator ideals of completely continuous, weakly â-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = Wâ â¦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
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Compact covariance operators [PDF]
Proceedings of the American Mathematical Society, 1981 Let B be a real separable Banach space and R: i'->ia covariance operator. All representations of R in the form 2en ® e", (e", n > 1} c fi, are characterized. Necessary and sufficient conditions for R to be compact are ob- tained, including a generalization of Mercer's theorem. An application to character- istic functions is given. 1. Introduction.
Baker, Charles R., McKeague, Ian W.
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Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
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Proyecciones (Antofagasta)We give a characterization in terms of the transpose operator for a continuous linear operator between locally convex spaces to map bounded sets into relatively weakly compact [relatively compact, precompact] sets. Our results give a known characterization for compact operators between Banach spaces.
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Lupaş post quantum Bernstein operators over arbitrary compact intervals
Karpatsʹkì Matematičnì Publìkacìï, 2021 This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and bounded interval constructed with the help of Lupaş post quantum Bernstein bases.
A. Khan +3 more
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Smooth, Compact Operators [PDF]
Proceedings of the American Mathematical Society, 1979 It is a result of Holub’s [Math. Ann. 201 (1973), 157-163], that for T a compact operator on a real Hilbert space, T is smooth ⇔ ‖ T x 1 ‖ = ‖ T
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