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Session 4. Banach Spaces and Operator Theory with Applications
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On Random Unconditional Convergence in rearrangement invariant spaces |
Guillermo P. Curbera, Universidad de Sevilla, Spain
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Joint work with Sergey V. Astashkin (Samara State University, Russia) and
Konstantin E. Tikhomirov (University of Alberta, Canada)
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The concept of Random Unconditional Convergence in Banach spaces was
introduced by Billard, Kwapień, Pełczyński, and Samuel in the
1980s. Regarding rearrangement invariant spaces, there is a
remarkable result by Dodds, Semenov, and Sukochev relating RUC
systems and orthonormal uniformly bounded system. We present an
extension of this last result.
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