Random walks on symmethric spaces and inequalities for matrix spectra

Klyachko, A.2015-07-282015-07-282000-11-010024-3795http://hdl.handle.net/11693/10948Using 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.EnglishEigenvaluesSingular valuesSpherical functionsRandom walksRandom walks on symmethric spaces and inequalities for matrix spectraArticle10.1016/S0024-3795(00)00219-61873-1856