Random walks on symmethric spaces and inequalities for matrix spectra

Date

2000-11-01

Authors

Klyachko, A.

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Abstract

Using harmonic analysis on symmetric spaces we reduce the singular spectral problem for products of matrices to the recently solved spectral problem for sums of Hermitian matrices. This proves R.C. Thompson’s conjecture [Matrix Spectral Inequalities, Johns Hopkins University Press, Baltimore, MD, 1988]. © 2000 Elsevier Science Inc. All rights reserved.

Source Title

Linear Algebra and its Applications

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Elsevier
Elsevier Inc.

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Published Version (Please cite this version)

Language

English