On the existence of RUC systems in rearrangement invariant spaces |
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| Authors: | Sergey V Astashkin Guillermo P Curbera Konstantin E Tikhomirov |
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| Institution: | 1. Department of Mathematics and Mechanics, Samara State University, Samara, Russia;2. Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain;3. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada |
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| Abstract: | We characterize rearrangement invariant spaces X on 0, 1] with the property that each orthonormal system in X which is uniformly bounded in some Marcinkiewicz space  , for  equivalent to  ,  , is a system of Random Unconditional Convergence (RUC system). |
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| Keywords: | Random unconditional convergence rearrangement invariant space 46B15 46E30 Secondary: 46B09 |
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