Non-commutative Hardy inequalities

Details Non-commutative Hardy inequalities Non-commutative Hardy inequalities

2008-06-04

arxiv.org/abs/0806.0782v2

Bull. London Math. Soc. 41 (2009) 1009-1016

Mathematics

Operator Algebras

Scientific paper

10.1112/blms/bdp078

We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 11. 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.

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