Any Banach space has an equivalent norm with trivial isometries (Q1824152)
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scientific article; zbMATH DE number 4117211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Any Banach space has an equivalent norm with trivial isometries |
scientific article; zbMATH DE number 4117211 |
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Any Banach space has an equivalent norm with trivial isometries (English)
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1988
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The author shows that any Banach space X can be so renormed that X then has only trivial isometries. This is an extension of the result of \textit{S. Bellenot} [Isr. J. Math. 56, 89-96 (1986; Zbl 0619.46012)] which is in turn an extension of the result of \textit{W. J. Davis} [Rev. Roum. Math. Pures Appl. 16, 1051-1054 (1971; Zbl 0222.46016)].
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any Banach space has an equivalent norm with trivial isometries
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renorming
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