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On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus--Pisier Inequality |
Published:2006-06-01
Printed: Jun 2006
Printed: Jun 2006
- Roy Wagner
Abstract
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.
| MSC Classifications: |
15A52 - Random matrices 46B09 - Probabilistic methods in Banach space theory [See also 60Bxx] 46L54 - Free probability and free operator algebras |