On the existence of RUC systems in rearrangement invariant spaces

Sergey V. Astashkin; Guillermo P. Curbera; Konstantin E. Tikhomirov

doi:10.1002/mana.201400189

On the existence of RUC systems in rearrangement invariant spaces

Sergey V. Astashkin
, Guillermo P. Curbera
, Konstantin E. Tikhomirov

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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).

Original language	English (US)
Pages (from-to)	175-186
Number of pages	12
Journal	Mathematische Nachrichten
Volume	289
Issue number	2-3
DOIs	https://doi.org/10.1002/mana.201400189
State	Published - Feb 1 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Random unconditional convergence
Rearrangement invariant space

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10.1002/mana.201400189

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title = "On the existence of RUC systems in rearrangement invariant spaces",

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).",

keywords = "Random unconditional convergence, Rearrangement invariant space",

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doi = "10.1002/mana.201400189",

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T1 - On the existence of RUC systems in rearrangement invariant spaces

AU - Astashkin, Sergey V.

AU - Curbera, Guillermo P.

AU - Tikhomirov, Konstantin E.

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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UR - https://www.scopus.com/pages/publications/84957836966#tab=citedBy

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 -

On the existence of RUC systems in rearrangement invariant spaces

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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