| dc.creator | Argerami, Martín | |
| dc.creator | Massey, Pedro Gustavo | |
| dc.date | 2008-02 | |
| dc.date | 2020-08-06T14:54:45Z | |
| dc.date.accessioned | 2023-07-14T20:33:40Z | |
| dc.date.available | 2023-07-14T20:33:40Z | |
| dc.identifier | http://sedici.unlp.edu.ar/handle/10915/101526 | |
| dc.identifier | https://ri.conicet.gov.ar/11336/19465 | |
| dc.identifier | issn:0378-620X | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/7439722 | |
| dc.description | We find a description of the restriction of doubly stochastic maps to separable abelian C ∗ -subalgebras of a II1 factor M. We use this local form of doubly stochastic maps to develop a notion of joint majorization between ntuples of mutually commuting self-adjoint operators that extends those of Kamei (for single self-adjoint operators) and Hiai (for single normal operators) in the II1 factor case. Several characterizations of this joint majorization are obtained. As a byproduct we prove that any separable abelian C ∗ -subalgebra of M can be embedded into a separable abelian C ∗ -subalgebra of M with diffuse spectral measure. | |
| dc.description | Facultad de Ciencias Exactas | |
| dc.format | application/pdf | |
| dc.format | 1-19 | |
| dc.language | en | |
| dc.rights | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
| dc.rights | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
| dc.subject | Matemática | |
| dc.subject | Joint majorization | |
| dc.subject | Doubly stochastic map | |
| dc.subject | Convex hull | |
| dc.subject | Unitary orbit | |
| dc.title | The local form of doubly stochastic maps and joint majorization in II1 factors | |
| dc.type | Articulo | |
| dc.type | Preprint | |
