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Noncommutative Boyd Interpolation Theorems Revisited

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Positivity and Noncommutative Analysis

Part of the book series: Trends in Mathematics ((TM))

Abstract

If E is a fully symmetric space on (0, ∞), we show that the corresponding noncommutative space E(τ) of τ-measurable operators is an interpolation space for the noncommutative pair (L 1(τ), L q(τ)) provided 1 ≤ q E < q, where q E is the upper Boyd index.

To Ben de Pagter with profound respect and admiration

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Author information

Authors and Affiliations

  1. College of Science and Engineering, Flinders University, Adelaide, Australia

    Peter Dodds & Theresa Dodds

Authors
  1. Peter Dodds
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  2. Theresa Dodds
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Corresponding author

Correspondence to Peter Dodds .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Mississippi, Oxford, MS, USA

    Gerard Buskes

  2. Mathematical Institute, Leiden University, Leiden, The Netherlands; Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa

    Marcel de Jeu

  3. College of Science and Engineering, Flinders University, Adelaide, Australia

    Peter Dodds

  4. Department of Mathematics, University of South Carolina, Columbia, SC, USA

    Anton Schep

  5. School of Mathematics and Statistics, University of New South Wales, Sydney, Australia

    Fedor Sukochev

  6. Delft Institute of Applied Mathematics, Delft University of Technology, Delft, The Netherlands

    Jan van Neerven

  7. Mathematical Sciences Research Centre, Queen’s University Belfast, Belfast, UK

    Anthony Wickstead

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Dodds, P., Dodds, T. (2019). Noncommutative Boyd Interpolation Theorems Revisited. In: Buskes, G., et al. Positivity and Noncommutative Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10850-2_7

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