Any Banach space has an equivalent norm with trivial isometries
type: Item
instance of: scholarly article
title: Any Banach space has an equivalent norm with trivial isometries
zbMATH Open document ID: 0682.46010
DOI: 10.1007/BF02767369
published in: Israel Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 46B20
Mathematics Subject Classification ID: 46B03
zbMATH DE Number: 4117211
zbMATH Keywords: any Banach space has an equivalent norm with trivial isometries
zbMATH Keywords: renorming
author: Krzysztof Jarosz
reviewed by: V. Zizler
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02767369
OpenAlex ID: W2062793398
description: scientific article; zbMATH DE number 4117211