Sharp uniform convexity and smoothness inequalities for trace norms |
| |
| Authors: | Keith Ball Eric A. Carlen Elliott H. Lieb |
| |
| Affiliation: | (1) Department of Mathematics, Texas A&M University, 77843 College Station, TX, USA;(2) Georgia Institute of Technology, School of Mathematics, 30332 Atlanta, GA, USA;(3) Departments of Mathematics and Physics, Princeton University, P. O. Box 708, 08544 Princeton, NJ, USA |
| |
| Abstract: | Summary We prove several sharp inequalities specifying the uniform convexity and uniform smoothness properties of the Schatten trace idealsCp, which are the analogs of the Lebesgue spacesLp in non-commutative integration. The inequalities are all precise analogs of results which had been known inLp, but were only known inCp for special values ofp. In the course of our treatment of uniform convexity and smoothness inequalities forCp we obtain new and simple proofs of the known inequalities forLp.Oblatum 7-VII-1993Work partially supported by US National Science Foundation grant DMS 88-07243Work partially supported by US National Science Foundation grant DMS 92-07703Work partially supported by US National Science Foundation grant PHY90-19433 A02 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
