Elliptic Equations with Noninvertible Fredholm Linear Part and Bounded Nonlinearities.
H. Amann, A. Ambrosett, G. Mancini (1978)
Mathematische Zeitschrift
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H. Amann, A. Ambrosett, G. Mancini (1978)
Mathematische Zeitschrift
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Albert Wilansky (1975)
Mathematische Zeitschrift
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Robin Harte, Wickstead Anthony (1977)
Mathematische Zeitschrift
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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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A. Buraczewski (1974)
Colloquium Mathematicae
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David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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R.W. Cross (1988)
Mathematische Zeitschrift
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Robin Harte (1982)
Mathematische Zeitschrift
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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.
Micheál Ó. Searcóid (1988)
Mathematische Zeitschrift
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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.