The barrier cone of a convex set and the closure of the cover.
Bair, J., Dupin, J.C. (1999)
Journal of Convex Analysis
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Bair, J., Dupin, J.C. (1999)
Journal of Convex Analysis
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M. Berkani, M. Sarih (2001)
Studia Mathematica
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Let X be a Banach space and let T be a bounded linear operator acting on X. Atkinson's well known theorem says that T is a Fredholm operator if and only if its projection in the algebra L(X)/F₀(X) is invertible, where F₀(X) is the ideal of finite rank operators in the algebra L(X) of bounded linear operators acting on X. In the main result of this paper we establish an Atkinson-type theorem for B-Fredholm operators. More precisely we prove that T is a B-Fredholm operator if and only...
Robert Israel (1974)
Studia Mathematica
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Gleason, Jim (2001)
Georgian Mathematical Journal
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Skarpness, Brad, Sposito, V.A. (1982)
International Journal of Mathematics and Mathematical Sciences
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Chai, Yan-Fei, Cho, Yeol Je, Li, Jun (2008)
Journal of Inequalities and Applications [electronic only]
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Miroslav Fiedler, Vlastimil Pták (1978)
Czechoslovak Mathematical Journal
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Henryk Gacki, Andrzej Lasota (1990)
Annales Polonici Mathematici
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L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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Bruce Barnes (1992)
Studia Mathematica
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Let ℬ be a Banach algebra of bounded linear operators on a Banach space X. If S is a closed operator in X such that (λ - S)^{-1} ∈ ℬ for some number λ, then S is affiliated with ℬ. The object of this paper is to study the spectral theory and Fredholm theory relative to ℬ of an operator which is affiliated with ℬ. Also, applications are given to semigroups of operators which are contained in ℬ.