Analytic structure on algebras of operator valued functions (Q694427)
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scientific article; zbMATH DE number 6115185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic structure on algebras of operator valued functions |
scientific article; zbMATH DE number 6115185 |
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Analytic structure on algebras of operator valued functions (English)
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12 December 2012
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The authors present a generalization of a well-known theorem of Wermer concerning the availability of analytic structure on Gleason parts [\textit{T. W. Gamelin}, Uniform algebras. Englewood Cliffs: Prentice-Hall (1969; Zbl 0213.40401)]. The framework is that of of non-commutative uniform algebras, that is, algebras of operator valued functions defined on compact Hausdorff spaces.
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\(C^\ast\)-algebra
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uniform (function) algebra
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primitive \(C^\ast\)-algebra
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bimodule
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conditional expectation
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spectrum
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Gleason part
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analytic structure
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fibre algebra
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