Multilinear function series in conditionally free probability with amalgamation
Operator Algebras
2008-09-05 v3 Functional Analysis
Abstract
As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.
Keywords
Cite
@article{arxiv.0704.0040,
title = {Multilinear function series in conditionally free probability with amalgamation},
author = {Mihai Popa},
journal= {arXiv preprint arXiv:0704.0040},
year = {2008}
}
Comments
Final version, published