All Title Author
Keywords Abstract

Mathematics  2008 

Non-commutative Hardy inequalities

DOI: 10.1112/blms/bdp078

Full-Text   Cite this paper   Add to My Lib


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.


comments powered by Disqus