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Title: Trace inequalities for products of positive definite matrices

It is shown that for positive definite matrices A and B the inequality ‖A{sup p}B{sup q} + B{sup p}A{sup q}‖{sub 2} ⩽ ‖A{sup p}B{sup q} + A{sup q}B{sup p}‖{sub 2} holds for all positive real number p and q for which p/(p + q) is in [1/4, 3/4]. This is a significant improvement on a recent result of Hayajneh and Kittaneh [“Lieb-Thirring trace inequalities and a question of Bourin,” J. Math. Phys. 54, 033504 (2013)].
Authors:
 [1]
  1. Indian Statistical Institute, New Delhi - 110016 (India)
Publication Date:
OSTI Identifier:
22251582
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 1; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMMUTATION RELATIONS; HILBERT SPACE; MATRICES; PERTURBATION THEORY