On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus--Pisier Inequality
Printed: Jun 2006
We prove a self-adjoint analogue of the Marcus--Pisier inequality, comparing the
expected value of convex functionals on randomreflection matrices and on elements of
the Gaussian orthogonal (or unitary) ensemble.
15A52 - Random matrices
46B09 - Probabilistic methods in Banach space theory [See also 60Bxx]
46L54 - Free probability and free operator algebras