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Random walks on symmetric spaces and inequalities for matrix spectra

Identifieur interne : 001320 ( Main/Exploration ); précédent : 001319; suivant : 001321

Random walks on symmetric spaces and inequalities for matrix spectra

Auteurs : Alexander A. Klyachko [Turquie]

Source :

RBID : ISTEX:7C98040D02A17E52831316950D8028CBC2427F33

English descriptors

Abstract

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].

Url:
DOI: 10.1016/S0024-3795(00)00219-6


Affiliations:


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