The Walsh basis in the Lp-spaces of hyperfinite IIIλ factors, 0 < λ ≤ 1

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Caspers, M.¹  Potapov, D.²  Sukochev, F.² 

[1] Radboud Univ Nijmegen, IMAPP, FNWI, NL-6525 AJ Nijmegen, Netherlands

[2] UNSW, Sch Math & Stat, Kensington, NSW 2052, Australia

关键词: Walsh basis;    Hyperfinite factors;    Unconditional decomposition;   

DOI  :  10.1016/j.jmaa.2013.06.003

来源: Elsevier

【 摘 要 】

We introduce a non-commutative Walsh system and prove that it forms a Schauder basis in the L-p-spaces (1 < p < infinity) associated with the hyperfinite III lambda-factors (0 < lambda <= 1). (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free