Index formulas for countably \(k\)-set contractive operators (Q2378837)
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| Language | Label | Description | Also known as |
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| English | Index formulas for countably \(k\)-set contractive operators |
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Index formulas for countably \(k\)-set contractive operators (English)
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14 January 2009
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This paper considers countably \(k\)-set contractive bounded linear operators in real Banach spaces and, by applying a degree theory developed by M.\,Väth, proves an index formula for the fixed points of such operators that extends previously known results. As an application, an index formula for a class of differentiable operators is obtained.
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index formula
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countably \(k\)-set contractive operator
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essential spectrum
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degree theory
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