Schur-Horn theorems in II∞-factors

dc.creator	Argerami, Martín
dc.creator	Massey, Pedro Gustavo
dc.date	2013
dc.date	2019-11-07T14:43:36Z
dc.identifier	http://sedici.unlp.edu.ar/handle/10915/85129
dc.identifier	issn:0030-8730
dc.description	We describe majorization between selfadjoint operators in a ρ-finite II∞ factor (M, τ) in terms of simple spectral relations. For a diffuse abelian von Neumann subalgebra A ⊂ M that admits a (necessarily unique) tracepreserving conditional expectation, denoted by EA, we characterize the closure in the measure topology of the image through EA of the unitary orbit of a selfadjoint operator in M in terms of majorization (i.e., a Schur-Horn theorem). We also obtain similar results for the contractive orbit of positive operators in M and for the unitary and contractive orbits of τ-integrable operators in M.
dc.description	Facultad de Ciencias Exactas
dc.format	application/pdf
dc.format	283-310
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	II∞ factors
dc.subject	Majorization
dc.subject	Schur-Horn theorem
dc.title	Schur-Horn theorems in II∞-factors
dc.type	Articulo
dc.type	Articulo