An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions

Details An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions An Araki-Lieb-Thirring inequality for geometrically concave and geometrically convex functions

2012-04-16

arxiv.org/abs/1204.3418v1

Mathematics

Functional Analysis

11 pages

Scientific paper

For positive definite matrices A and B, the Araki-Lieb-Thirring inequality amounts to an eigenvalue log-submajorisation relation for fractional powers $$ \lambda(A^t B^t) \prec_{w(\log)} \lambda^t(AB), \quad 0

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