Tingley's problem for -Schatten von Neumann classes

  • Francisco J. Fernández-Polo

    Universidad de Granada, Spain
  • Enrique Jordá

    Universitat Politécnica de Valencia, Alcoy, Spain
  • Antonio M. Peralta

    Universidad de Granada, Spain
Tingley's problem for $p$-Schatten von Neumann classes cover
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Abstract

Let and be the complex Hilbert spaces. For we consider the Banach space of all -Schatten von Neumann operators, whose unit sphere is denoted by . In this paper we prove that every surjective isometry can be extended to a complex linear or to a conjugate linear surjective isometry .

Cite this article

Francisco J. Fernández-Polo, Enrique Jordá, Antonio M. Peralta, Tingley's problem for -Schatten von Neumann classes. J. Spectr. Theory 10 (2020), no. 3, pp. 809–841

DOI 10.4171/JST/313