Noncommutative Khintchine and Paley inequalities via generic factorization
Functional Analysis
2014-10-06 v2 Operator Algebras
Abstract
We reprove an inequality for Rademacher series with coefficients in the Schatten class . Our method yields the same estimate for coefficients after suitable gaps in -valued trigonometric series; this was known for scalar-valued functions. A very similar method gives a new proof of the extension to -valued functions of Paley's theorem about lacunary coefficients.
Keywords
Cite
@article{arxiv.1407.2578,
title = {Noncommutative Khintchine and Paley inequalities via generic factorization},
author = {John J. F. Fournier},
journal= {arXiv preprint arXiv:1407.2578},
year = {2014}
}
Comments
Subspaces $M_j$ and $L_j$ are suitably enlarged to fix errors in the first version of this paper. See the last sentence in the new Remark 3.4