%0 Journal Article
%T Non-commutative Hardy inequalities
%A Frank Hansen
%J Mathematics
%D 2008
%I arXiv
%R 10.1112/blms/bdp078
%X We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1<p<=2, and to operators under a trace for arbitrary p>1. Applications to trace functions are given. We introduce the tracial geometric mean and generalize Carleman's inequality. Key words and phrases: Hardy's inequality, positive operator, trace function, geometric mean, Carleman's inequality.
%U http://arxiv.org/abs/0806.0782v2