Gelfand--Hille type theorems in ordered Banach algebras (Q1007103)
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scientific article; zbMATH DE number 5534429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gelfand--Hille type theorems in ordered Banach algebras |
scientific article; zbMATH DE number 5534429 |
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Gelfand--Hille type theorems in ordered Banach algebras (English)
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27 March 2009
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The main results give sufficient conditions for an element in an ordered Banach algebra with spectrum \(\{1\}\) to be the identity element of this algebra. Several results deal with sufficient conditions for the Abel boundedness of an element in an ordered Banach algebra.
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ordered Banach algebra
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Abel bounded elements
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Cesàro bounded elements
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doubly bounded elements
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algebra cone
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nilpotency
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Gelfand-Hille type theorems
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