Anti-norms on Finite von Neumann Algebras
| Affiliation auteurs | Affiliation ok |
| Titre | Anti-norms on Finite von Neumann Algebras |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Bourin J-C, Hiai F |
| Journal | PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES |
| Volume | 51 |
| Pagination | 207-235 |
| Date Published | JUN |
| Type of Article | Article |
| ISSN | 0034-5318 |
| Mots-clés | finite von Neumann algebra, Fuglede Kadison determinant, Majorization, spectral dominance, symmetric anti-norm, Symmetric norm, tau-measurable operator, unitary orbit |
| Résumé | As the reversed version of usual symmetric norms, we introduce the notion of symmetric anti-norms parallel to center dot parallel to defined on the positive operators affiliated with a finite von Neumann algebra with a finite normal trace. Related to symmetric anti-norms, we develop majorization theory and superadditivity inequalities of the form parallel to psi(A +B) parallel to! >= parallel to psi(A) parallel to!+ parallel to (B)psi parallel to! for a wide class of functions psi. |
| DOI | 10.4171/PRIMS/153 |