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Orthosymmetric Archimedean-Valued Vector Lattices

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Book cover Positivity and Noncommutative Analysis

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

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Abstract

We introduce and study the notion of orthosymmetric Archimedean-valued vector lattices as a generalization of finite-dimensional Euclidean inner spaces. A special attention has been paid to linear operators on these spaces.

We would like to dedicate this paper to our friend Professor Ben de Pagter, whose works strongly influenced our research. He is, undoubtedly, the most cited author in our articles

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Author information

Authors and Affiliations

  1. GOSAEF, Laboratoire de Recherche LATAO, Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, El Manar, Tunisia

    Mohamed Amine Ben Amor, Karim Boulabiar & Jamel Jaber

Authors
  1. Mohamed Amine Ben Amor
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  2. Karim Boulabiar
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  3. Jamel Jaber
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Corresponding author

Correspondence to Karim Boulabiar .

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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Amor, M.A.B., Boulabiar, K., Jaber, J. (2019). Orthosymmetric Archimedean-Valued Vector Lattices. In: Buskes, G., et al. Positivity and Noncommutative Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-10850-2_2

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