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Some inequalities for eigenvalues and symplectic eigenvalues of positive definite matrices

Bhatia, R

Bhatia, R (reprint author), Ashoka Univ, Sonepat 131029, Haryana, India.

INTERNATIONAL JOURNAL OF MATHEMATICS, 2019; 30 (11):

Abstract

We show that for any two n x n matrices X and Y we have the inequality s(j)(2) (I + XY) <= lambda(j) ((I+X * X)(I+Y * Y)), where s(j)(T) and lambda......

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