Results 11 to 20 of about 2,232,899 (337)

The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators [PDF]

open access: yesAbstract and Applied Analysis, 2007
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
doaj   +7 more sources

Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces

open access: yesمجلة بغداد للعلوم, 2019
In this paper the definition of fuzzy normed space is recalled and its basic properties. Then the definition of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced after that the proof of an operator is fuzzy ...
Kider et al.
doaj   +2 more sources

A Kastler-Kalau-Walze Type Theorem and the Spectral Action for Perturbations of Dirac Operators on Manifolds with Boundary

open access: yesAbstract and Applied Analysis, 2014
We prove a Kastler-Kalau-Walze type theorem for perturbations of Dirac operators on compact manifolds with or without boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action on boundary.
Yong Wang
doaj   +2 more sources

On best approximations to compact operators [PDF]

open access: yesProceedings of the American Mathematical Society, 2021
We study best approximations to compact operators between Banach spaces and Hilbert spaces, from the point of view of Birkhoff-James orthogonality and semi-inner-products.
D. Sain
semanticscholar   +1 more source

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   +3 more sources

Extrapolation for multilinear compact operators and applications [PDF]

open access: yes, 2020
This paper is devoted to studying the Rubio de Francia extrapolation for multilinear compact operators. It allows one to extrapolate the compactness of $T$ from just one space to the full range of weighted spaces, whenever an $m$-linear operator $T$ is ...
Mingming Cao, Andrea Olivo, K. Yabuta
semanticscholar   +1 more source

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

Representing the Banach operator ideal of completely continuous operators; pp. 189–193 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2017
Let V ;W∞ and W be the operator ideals of completely continuous, weakly ∞-compact, and weakly compact operators, respectively. In a recent paper, William B. Johnson, Eve Oja, and the author proved that V = W∞ ◦W -1 (Johnson, W. B., Lillemets, R.,
Rauni Lillemets
doaj   +1 more source

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