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How to recognize nonexpansive mappings and isometric mappings

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Abstract

In two real Banach spaces, we shall present two conditions, under one of which each nonexpansive mapping must be an isometry.

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P. R. China

    Guang Gui Ding

  2. Department of Applied Mathematics, Dalian Nationality University, Liaoning, 116600, P. R. China

    Yu Mei Ma

Authors
  1. Guang Gui Ding
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  2. Yu Mei Ma
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Corresponding author

Correspondence to Guang Gui Ding.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 10871101) and the Research Fund for the Doctoral Program of Higher Education (Grant No. 20060055010)

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Ding, G.G., Ma, Y.M. How to recognize nonexpansive mappings and isometric mappings. Acta. Math. Sin.-English Ser. 27, 1959–1966 (2011). https://doi.org/10.1007/s10114-011-9470-7

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  • DOI: https://doi.org/10.1007/s10114-011-9470-7

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