Perturbations of Fredholm operators
Robert Israel (1974)
Studia Mathematica
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Robert Israel (1974)
Studia Mathematica
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Gleason, Jim (2001)
Georgian Mathematical Journal
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Robert B. Lockhart, Robert C. Mc Owen (1985)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Qihong Fan, M.W. Wong (1997)
Forum mathematicum
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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...
H. Amann, A. Ambrosett, G. Mancini (1978)
Mathematische Zeitschrift
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Volpert, V., Volpert, A. (2003)
Abstract and Applied Analysis
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L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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David Cramer, Yuri Latushkin (2007)
Banach Center Publications
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We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
Valter Šeda (1983)
Annales Polonici Mathematici
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Bernhelm Booss, Bert Schulze (1983)
Banach Center Publications
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M. Schechter, Robert Whitley (1988)
Studia Mathematica
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