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Isometries between Banach spaces of Lipschitz functions

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Abstract

The Banach spaces Lipa (S, Δ), lipa (S, Δ), Lipa (S, Δ;s 0) and lipa (S, Δ;s 0) of Lipschitz functions are defined. We shall identify the extreme points of the unit balls in their corresponding dual spaces and make use of them to present a complete characterization of the isometries between these function spaces.

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Authors and Affiliations

  1. Department of Mathematics, Technion — Israel Institute of Technology, Haifa, Israel

    E. Mayer-Wolf

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  1. E. Mayer-Wolf
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Additional information

This paper is a part of the author’s M.Sc. thesis which was prepared under the guidance of Dr. Y. Benyamini.

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Mayer-Wolf, E. Isometries between Banach spaces of Lipschitz functions. Israel J. Math. 38, 58–74 (1981). https://doi.org/10.1007/BF02761849

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  • DOI: https://doi.org/10.1007/BF02761849

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