Session 4. Banach Spaces and Operator Theory with Applications

On Random Unconditional Convergence in rearrangement invariant spaces

Guillermo P. Curbera, Universidad de Sevilla, Spain
Joint work with Sergey V. Astashkin (Samara State University, Russia) and Konstantin E. Tikhomirov (University of Alberta, Canada)
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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