Supersets for the spectrum of elements in extended Banach algebras (Q914120)
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scientific article; zbMATH DE number 4148919
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Supersets for the spectrum of elements in extended Banach algebras |
scientific article; zbMATH DE number 4148919 |
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Supersets for the spectrum of elements in extended Banach algebras (English)
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1989
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Summary: If A is a Banach algebra with or without an identity, A can be always extended to a Banach algebra \(\bar A\) with identity, where \(\bar A\) is simply the direct sum of A and \({\mathbb{C}}\), the algebra of complex numbers. In this note we find supersets for the spectrum of elements of \(\bar A.\)
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spectrum elements
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quasi-singular elements
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Banach algebra
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direct sum
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