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Diameter preserving maps on function spaces

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Abstract

In this paper we describe, under certain assumptions, surjective diameter preserving mappings when defined between function spaces, not necessarily algebras, thus extending most of the previous results for these operators. We provide an example which shows that our assumptions are not redundant.

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Authors and Affiliations

  1. Department of Mathematics, K.N. Toosi University of Technology, 16315-1618, Tehran, Iran

    Maliheh Hosseini

  2. Departament de Matemàtiques, and Institut Universitari de Matemàtiques i Aplicacions de Castelló (IMAC), Universitat Jaume I, Campus del Riu Sec. s/n, 12071, Castellón, Spain

    Juan J. Font

Authors
  1. Maliheh Hosseini
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  2. Juan J. Font
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Correspondence to Maliheh Hosseini.

Additional information

Research of J.J. Font was partially supported by Universitat Jaume I (Projecte P1\(\cdot \)1B2014-35) and Generalitat Valenciana (Projecte AICO/16/030).

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Hosseini, M., Font, J.J. Diameter preserving maps on function spaces. Positivity 21, 875–883 (2017). https://doi.org/10.1007/s11117-016-0438-9

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  • DOI: https://doi.org/10.1007/s11117-016-0438-9

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