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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Rendiconti del Circo...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Rendiconti del Circolo Matematico di Palermo (1952 -)
Article . 2006 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2006
Data sources: zbMATH Open
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B-fredholm and spectral properties for multipliers in Banach algebras

\(B\)-Fredholm and spectral properties for multipliers in Banach algebras
Authors: Berkani, M.; Arroud, A.;

B-fredholm and spectral properties for multipliers in Banach algebras

Abstract

The paper studies spectral and \(B\)-Fredholm properties of multipliers acting on semi-simple regular Tauberian commutative Banach algebras. It is shown that a multiplier is \(B\)-Fredholm if and only if it is semi \(B\)-Fredholm, and in this case the index of \(T\) is zero. Spectral mapping theorems for the Weyl and \(B\)-Weyl spectrum are proven, and it is shown that the Weyl theorem and the generalized Weyl theorem hold for multipliers. Finally, sufficient conditions are given for a multiplier to be the product of an invertible and an idempotent operator.

Related Organizations
Keywords

Linear operators on Banach algebras, Perturbation theory of linear operators, Weyl's theorem, \(B\)-Fredholm operators, multipliers, General theory of topological algebras, (Semi-) Fredholm operators; index theories, Spectrum, resolvent, Banach algebras, generalized Weyl's theorem

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
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