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RUC systems in rearrangement invariant spaces

Volume 151 / 2002

P. G. Dodds, E. M. Semenov, F. A. Sukochev Studia Mathematica 151 (2002), 161-173 MSC: Primary 46E30; Secondary 46B09, 46B15. DOI: 10.4064/sm151-2-4

Abstract

We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.

Authors

  • P. G. DoddsDepartment of Mathematics and Statistics
    School of Informatics and Engineering
    The Flinders University of South Australia
    Bedford Park, 5042, SA, Australia
    e-mail
  • E. M. SemenovDepartment of Mathematics
    Voronezh State University
    Universitetskaya pl. 1
    Voronezh 394693, Russia
    e-mail
  • F. A. SukochevDepartment of Mathematics and Statistics
    School of Informatics and Engineering
    The Flinders University of South Australia
    Bedford Park, 5042, SA, Australia
    e-mail

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