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

被引：1

作者：

Caspers, M. ^{[1
]}

Potapov, D. ^{[2
]}

Sukochev, F. ^{[2
]}

机构：

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

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 408卷 / 01期

关键词：

Walsh basis; Hyperfinite factors; Unconditional decomposition; VON-NEUMANN ALGEBRA;

D O I：

10.1016/j.jmaa.2013.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：154 / 164

页数：11

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

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