The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1
Operator Algebras
2011-11-11 v1 Functional Analysis
Abstract
We introduce a non-commutative Walsh system and prove that it forms a Schauder basis in the Lp-spaces (1 < p < \infty) associated with the hyperfinite III_\lambda-factors (0 < \lambda <= 1).
Cite
@article{arxiv.1111.2403,
title = {The Walsh basis in the Lp-spaces of hyperfinite III_\lambda-factors, 0 < \lambda <= 1},
author = {M. Caspers and D. Potapov and F. Sukochev},
journal= {arXiv preprint arXiv:1111.2403},
year = {2011}
}