%0 Journal Article
%T On Random Operator-Valued Matrices: Operator-Valued Semicircular Mixtures and Central Limit Theorem
%A Mario Diaz
%J Mathematics
%D 2014
%I arXiv
%X Motivated by a random matrix theory model from wireless communications, we define random operator-valued matrices as the elements of $L^{\infty-}(\Omega,{\mathcal F},{\mathbb P}) \otimes M_d({\mathcal A})$ where $(\Omega,{\mathcal F},{\mathbb P})$ is a classical probability space and $({\mathcal A},\varphi)$ is a non-commutative probability space. A central limit theorem for the mean $M_d(\mathbb{C})$-valued moments of these random operator-valued matrices is derived. Also a numerical algorithm to compute the mean $M_d({\mathbb C})$-valued Cauchy transform of operator-valued semicircular mixtures is analyzed.
%U http://arxiv.org/abs/1410.3500v1