%0 Journal Article
%T Polar decomposition approach to Reid's inequality
%A Lin C-S
%J Journal of Inequalities and Applications
%D 2002
%I Springer
%X If and is Hermitian, then holds for all , which is known as Reid's inequality and was sharpened by Halmos in which was replaced by , the spectral radius of . In this article we present generalizations of Reid's and Halmos' inequalities via polar decomposition approach. Conditions on and are relaxed. Theorem regards Reid-type inequalities, and Theorem 2 contains Halmos-type inequalities.
%K Polar decomposition
%K Reid's inequality
%K Spectral radius
%U http://www.journalofinequalitiesandapplications.com/content/7/186542