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Factoring Compact Operators and Approximable Operators
Zeitschrift für Analysis und ihre Anwendungen, 1990Our paper is concerned with two topics. The first one is represented by aversion of Figiel’s and Johnson’s theorem on the factorization of compact operators adapted to the framework of ordered Banach spaces. Namely, we prove that every compact operator from a Banach space to an ordered Banach space with closed generating cone (respectively, a Banaöh ...
Popovici, I. M., Vuza, D. T.
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On Reflexive Compact Operators
Canadian Journal of Mathematics, 1977Let 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.
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U-Closure Operators and Compactness
Applied Categorical Structures, 2005In 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
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On Compact Perturbations of Operators
Canadian Journal of Mathematics, 1974Recently 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.
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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
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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
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On unitary equivalence of compact operator tuples
Science China Mathematics, 2022Rongwei Yang, Yang Rongwei
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Characterization of the condition spectrum of a compact operator
Journal of Analysis, 2021S Veeramani
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An operator onL pwithout best compact approximation
Israel Journal of Mathematics, 1985Y Benyamini, Benyamini Y
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Quantitative estimates for a new complex Durrmeyer operator in compact disks
Applied Mathematics and Computation, 2011Sorin G Gal, Vijay Gupta
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