Inequality for p-norms of positive matrices
| dc.creator | King, C. | |
| dc.date | 2003-02-10 | |
| dc.date | 2003-02-17 | |
| dc.date.accessioned | 2026-07-07T06:06:06Z | |
| dc.date.available | 2026-07-07T06:06:06Z | |
| dc.description | This paper derives an inequality relating the p-norm of a positive 2 x 2 block matrix to the p-norm of the 2 x 2 matrix obtained by replacing each block by its p-norm. The inequality had been known for integer values of p, so the main contribution here is the extension to all values p >= 1. In a special case the result reproduces Hanner's inequality. As an application in quantum information theory, the inequality is used to obtain some results concerning maximal p-norms of product channels. | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0302069 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0302069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90861 | |
| dc.subject | Quantum Physics | |
| dc.title | Inequality for p-norms of positive matrices | |
| dc.type | text |