2001/09/26 by Dan Voiculescu, Voiculescu, Dan · 1 citation
Mathematics · #Holomorphic and Operator Theory #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math.OA #msc:30C80 #msc:46L53 #msc:46L54
paper · pdf · doi:10.48550/arxiv.math/0109211
6 pages
arxiv created 2001/09/26 · arxiv updated 2009/11/30
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.