TY - JOUR
T1 - On the existence of RUC systems in rearrangement invariant spaces
AU - Astashkin, Sergey V.
AU - Curbera, Guillermo P.
AU - Tikhomirov, Konstantin E.
N1 - Publisher Copyright:
© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
PY - 2016/2/1
Y1 - 2016/2/1
N2 - 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).
AB - 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).
KW - Random unconditional convergence
KW - Rearrangement invariant space
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U2 - 10.1002/mana.201400189
DO - 10.1002/mana.201400189
M3 - Article
AN - SCOPUS:84957836966
SN - 0025-584X
VL - 289
SP - 175
EP - 186
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 2-3
ER -