Fredholm, Riesz and local spectral theory of multipliers.
Pietro Aiena (1994)
Extracta Mathematicae
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Displaying similar documents to “Commutative Banach Algebras and Decomposable Operators.”
Fredholm, Riesz and local spectral theory of multipliers.
On Perturbations of Linear m-Accetive Operators on Reflexive Banach Spaces.
Klaus-J. Engel (1995)
Monatshefte für Mathematik
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Banach Convolution Algebras of Functions II.
Hans G. Feichtinger (1979)
Monatshefte für Mathematik
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Modules over Commutative Banach Algebras.
Charles F. Dunkl (1970)
Monatshefte für Mathematik
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A simple example of a non-commutative Arens product.
Ignacio Zalduendo (1991)
Publicacions Matemàtiques
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A simple and natural example is given of a non-commuting Arens multiplication.
Jointly prescalar sets in Banach algebras
Thomas, Gary M. (1981)
Portugaliae mathematica
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Symmetric Linear Operators on a Banach Space.
F.V. Atkinson (1949)
Monatshefte für Mathematik
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The Polynomial-Normaloid Property for Banach-Space Operators
F.V. Atkinson (1975)
Monatshefte für Mathematik
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The algebraic size of the family of injective operators
Luis Bernal-González (2017)
Open Mathematics
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In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every separable infinite dimensional Banach space supports a commutative infinitely generated free linear algebra of operators all of whose nonzero members are one-to-one. In certain cases, the assertion holds for nonseparable Banach spaces.
Polynomially compact elements of Banach algebras
V. Rakočević (1984)
Matematički Vesnik
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Some questions in operator theory and applications in analysis
James Rovnyak (1982)
Banach Center Publications
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Banach spaces with small Calkin algebras
Manuel González (2007)
Banach Center Publications
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Let X be a Banach space. Let 𝓐(X) be a closed ideal in the algebra ℒ(X) of the operators acting on X. We say that ℒ(X)/𝓐(X) is a Calkin algebra whenever the Fredholm operators on X coincide with the operators whose class in ℒ(X)/𝓐(X) is invertible. Among other examples, we have the cases in which 𝓐(X) is the ideal of compact, strictly singular, strictly cosingular and inessential operators, and some other ideals introduced as perturbation classes in Fredholm theory. Our aim is to...