Analytic Subordination Consequences of Free Markovianity
Operator Algebras
2007-05-23 v1
Abstract
Using simple operator-valued analytic function considerations several general analytic subordination results for a freely Markovian triple of operator algebras are derived from the analytic subordination result for generalized resolvents in the case of a free increment with amalgamation. This includes a generalization of Biane's subordination result in the case of a unitary free multiplicative increment.
Cite
@article{arxiv.math/0109211,
title = {Analytic Subordination Consequences of Free Markovianity},
author = {Dan Voiculescu},
journal= {arXiv preprint arXiv:math/0109211},
year = {2007}
}
Comments
6 pages