Fredholm, Riesz and local spectral theory of multipliers.
Pietro Aiena (1994)
Extracta Mathematicae
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Pietro Aiena (1994)
Extracta Mathematicae
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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...
L. Lindeboom, H. Raubenheimer (2002)
Czechoslovak Mathematical Journal
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We investigate the relationship between the regularities and the Fredholm theory in a Banach algebra.
Z. Słodkowski, W. Żelazko (1982)
Banach Center Publications
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M. Smyth (1982)
Banach Center Publications
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Robin Harte (1982)
Mathematische Zeitschrift
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Đorđević, Dragan (1994)
Publications de l'Institut Mathématique. Nouvelle Série
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Manuel González, José M. Herrera (2003)
Studia Mathematica
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For a Banach space X such that all quotients only admit direct decompositions with a number of summands smaller than or equal to n, we show that every operator T on X can be identified with an n × n scalar matrix modulo the strictly cosingular operators SC(X). More precisely, we obtain an algebra isomorphism from the Calkin algebra L(X)/SC(X) onto a subalgebra of the algebra of n × n scalar matrices which is triangularizable when X is indecomposable. From this fact we get some information...
Dehici, Abdelkader, Saoudi, Khaled (2007)
International Journal of Mathematics and Mathematical Sciences
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