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 < 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.
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. | Original language | English |
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| Journal | Bulletin of the London Mathematical Society |
| Volume | 41 |
| Issue number | 6 |
| Pages (from-to) | 1009-1016 |
| Number of pages | 8 |
| ISSN | 0024-6093 |
| DOIs | |
| Publication status | Published - 2009 |