Vectorial powers of vectors in unital complex Banach algebras (Q997528)
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scientific article; zbMATH DE number 5177391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vectorial powers of vectors in unital complex Banach algebras |
scientific article; zbMATH DE number 5177391 |
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Vectorial powers of vectors in unital complex Banach algebras (English)
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7 August 2007
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Let \(A\) be a complex unital Banach algebra. For \(a\in A\), the author defines a continuous group homomorphism \(b\longmapsto b^{a}\), where \(b\) runs in the subgroup \(A_{a}\) of the identity component of invertible elements in \(\exp A\) which commute with \(a\).
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Banach algebras
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Spectrum
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Holomorphic mappings
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Holomorphic functional calculus
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