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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
  • Roy Wagner
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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, 46B09, 46L54 show english descriptions Random matrices
Probabilistic methods in Banach space theory [See also 60Bxx]
Free probability and free operator algebras
15A52 - Random matrices
46B09 - Probabilistic methods in Banach space theory [See also 60Bxx]
46L54 - Free probability and free operator algebras
 

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