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arXiv · 0806.0782

Non-commutative Hardy inequalities

Frank Hansen
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Abstract

We extend Hardy's inequality from sequences of non-negative numbers to sequences of positive semi-definite operators if the parameter p satisfies 1 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.

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Frank Hansen. 2009-03-02. Non-commutative Hardy inequalities. https://doi.org/10.1112/blms%2Fbdp078

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