On the local spectral properties of operator systems in Banach spaces (Q2901306)
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scientific article; zbMATH DE number 6058321
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the local spectral properties of operator systems in Banach spaces |
scientific article; zbMATH DE number 6058321 |
Statements
19 July 2012
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spectral and \(S\)-spectral systems of commuting operators
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spectral scalar
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\(S\)-scalar
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\(S\)-spectral measure
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restriction of an operator
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quotient of an operator
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On the local spectral properties of operator systems in Banach spaces (English)
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The authors investigate and study spectral and \(S\)-spectral systems of commuting bounded linear operators on a complex Banach space. Among other results, they show, in particular, that the restrictions and quotients of spectral systems with respect to invariant subspaces are \(S\)-spectral systems.
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