A contractive version of a Schur-Horn theorem in II1 factors
We prove a contractive version of the Schur-Horn theorem for submajorization in II<sub>1</sub> factors that complements some previous results on the Schur-Horn theorem within this context. We obtain a reformulation of a conjecture of Arveson and Kadison regarding a strong version of the...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2008
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/83523 |
| Aporte de: |
| Sumario: | We prove a contractive version of the Schur-Horn theorem for submajorization in II<sub>1</sub> factors that complements some previous results on the Schur-Horn theorem within this context. We obtain a reformulation of a conjecture of Arveson and Kadison regarding a strong version of the Schur-Horn theorem in II<sub>1</sub> factors in terms of submajorization and contractive orbits of positive operators. |
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