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Smooth, Compact Operators [PDF]

open access: bronzeProceedings 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
Julien Hennefeld
openalex   +2 more sources

Compact and limited operators [PDF]

open access: yesMathematische 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
openaire   +4 more sources

Some Properties of Unbounded M-Weakly and Unbounded L-Weakly Compact Operators

open access: yesJournal 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
doaj   +1 more source

Interpolation of compact bilinear operators [PDF]

open access: yesBulletin 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
doaj   +1 more source

Some characterizations of surjective operators on banach lattices [PDF]

open access: yesJournal 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
doaj   +1 more source

Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Compact covariance operators [PDF]

open access: yesProceedings 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.
Charles R. Baker, Ian W. McKeague
openaire   +2 more sources

An extension of compact operators by compact operators with no nontrivial multipliers [PDF]

open access: yesJournal of Noncommutative Geometry, 2018
We construct a noncommutative, separably represented, type I and approximately finite dimensional C^* -algebra such that its multiplier algebra is equal to its unitization. This algebra is an essential extension of the algebra \mathcal K(\ell_2(\mathfrak{c}))
Ghasemi, S. (Saeed), Koszmider, P.
openaire   +4 more sources

Lupaş post quantum Bernstein operators over arbitrary compact intervals

open access: yesKarpatsʹkì 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
doaj   +1 more source

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