On a Fučík problem
Valter Šeda (1983)
Annales Polonici Mathematici
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Valter Šeda (1983)
Annales Polonici Mathematici
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David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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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...
Gleason, Jim (2001)
Georgian Mathematical Journal
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Robert Israel (1974)
Studia Mathematica
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A. Buraczewski (1974)
Colloquium Mathematicae
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M. Schechter, Robert Whitley (1988)
Studia Mathematica
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Jacobus J. Grobler, Heinrich Raubenheimer, Andre Swartz (2016)
Czechoslovak Mathematical Journal
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We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index.
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.
Benevieri, Pierluigi, Calamai, Alessandro, Furi, Massimo (2006)
Fixed Point Theory and Applications [electronic only]
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L. A. Coburn, A. Lebow (1966)
Rendiconti del Seminario Matematico della Università di Padova
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Benevieri, Pierluigi, Furi, Massimo (2006)
Abstract and Applied Analysis
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