Freeness of Linear and Quadratic Forms in von Neumann Algebras
Operator Algebras
2012-12-06 v2
Abstract
We characterize semicircular distribution by the freeness of linear and quadratic forms in noncommutative random variables from a tracial -probability space with relaxed moment conditions.
Keywords
Cite
@article{arxiv.1012.5586,
title = {Freeness of Linear and Quadratic Forms in von Neumann Algebras},
author = {G. P. Chistyakov and F. Götze and F. Lehner},
journal= {arXiv preprint arXiv:1012.5586},
year = {2012}
}
Comments
15 pages; AMS-LaTeX, to appear in J Funct An