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U-Closure Operators and Compactness

Applied Categorical Structures, 2005
In this paper the authors introduce a notion of compactness in the following way: Let \({\mathcal A}\) be a category, \(\chi \) a finitely complete category with a proper \((\varepsilon ,{\mathcal M})\)-factorization structure for morphisms and \(U:{\mathcal A}\rightarrow \chi \) a functor. A pair \((A,m)\) with \(A\) object of \({\mathcal A}\) and \(m:
Gabriele Castellini, Eraldo Giuli
openaire   +3 more sources

Commutativity of normal compact operators via projective spectrum

, 2016
In this note, we will study the commutativity of normal compact operators with strong Agmon's condition by using the projective spectrum. This generalizes the result in MR3449218.
Tong Mao, Yikun Qiao, Penghui Wang
semanticscholar   +1 more source

On Reflexive Compact Operators

Canadian Journal of Mathematics, 1977
Let A be a compact operator on a separable Hilbert space . The aim of this paper is to investigate the relationship between the weak closure of the algebra of polynomials in A (denoted by U(A)) and its invariant subspace lattice Lat A.
openaire   +2 more sources

Metrical Characterizations of super weakly compact operators

, 2016
We characterize super weakly compact operators as those through which binary tree and diamond and Laakso graphs may not be factored with uniform distortion.
R. Causey, S. Dilworth
semanticscholar   +1 more source

On Compact Perturbations of Operators

Canadian Journal of Mathematics, 1974
Recently R. G. Douglas showed [4] that if V is a nonunitary isometry and U is a unitary operator (both acting on a complex, separable, infinite dimensional Hilbert space ), then V — K is unitarily equivalent to V ⊕ U (acting on ⊕ ) where K is a compact operator of arbitrarily small norm.
openaire   +2 more sources

Compact operators on the Hahn space

Monatshefte für Mathematik (Print), 2021
E. Malkowsky, V. Rakočević, Orhan Tuǧ
semanticscholar   +1 more source

Compact Operators

Compact Textbooks in Mathematics, 2020
Christian Clason
semanticscholar   +1 more source

Compact operators

1997
Abstract We begin this part on spectral theory with a chapter on compact operators. These operators provide the abstract framework to treat integral equations. As was shown by F. Riesz, their spectral behavior is similar to that of operators on finite dimensional spaces.
Reinhold Meise, Dietmar Vogt
openaire   +1 more source

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