Non-commutative Schur-Horn theorems and extended majorization for Hermitian matrices

Let A ⊆ Mn(C) be a unital ∗-subalgebra of the algebra Mn(C) of all n×n complex matrices and let B be an hermitian matrix. Let Un(B) denote the unitary orbit of B in Mn(C) and let EA denote the trace preserving conditional expectation onto A. We give a spectral characterization of the set EA(Un(B)) =...

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Autor principal: Massey, Pedro Gustavo
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2010
Materias:
Matemática
Extended majorization
Non-commutative schur-horn theorems
Diagonal block compressions
Partial traces
Unitary orbit
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102497
https://ri.conicet.gov.ar/11336/19430
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata

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