Bounded approximate identities in ternary Banach algebras (Q410169)
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scientific article; zbMATH DE number 6020968
| Language | Label | Description | Also known as |
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| English | Bounded approximate identities in ternary Banach algebras |
scientific article; zbMATH DE number 6020968 |
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Bounded approximate identities in ternary Banach algebras (English)
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3 April 2012
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Summary: Let \(A\) be a ternary Banach algebra. We prove that if \(A\) has a left-bounded approximating set, then \(A\) has a left-bounded approximate identity. Moreover, we show that if \(A\) has bounded left and right approximate identities, then \(A\) has a bounded approximate identity. Hence, we prove Altman's theorem and Dixon's theorem for ternary Banach algebras.
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