Eigenvalue inequalities in an embeddable factor-Reference-Cited by-同舟云学术

Eigenvalue inequalities in an embeddable factor

Published:2005-06-14 Issue:1 Volume:134 Page:75-80
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bercovici Hari,Li Wing

Abstract

We provide a characterization of the possible eigenvalues of the sum of two selfadjoint elements of a II 1 _{1} factor which can be embedded in the ultrapower R ω \mathcal {R}^{\omega } of the hyperfinite II 1 _{1} factor.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-01/S0002-9939-05-07952-9/S0002-9939-05-07952-9.pdf

Reference10 articles.

1. Inequalities for eigenvalues of sums in a von Neumann algebra;Bercovici, Hari,2001

2. H. Bercovici, W.S. Li, and T. Smotzer, Continuous versions of the Littlewood-Richardson rule, selfadjoint operators, and invariant subspaces, J. Operator Theory, to appear.

3. Classification of injective factors. Cases 𝐼𝐼₁, 𝐼𝐼_{∞}, 𝐼𝐼𝐼_{𝜆}, 𝜆̸=1;Connes, A.;Ann. of Math. (2),1976

4. Sur la notion de valeur caractéristique;Fack, Thierry;J. Operator Theory,1982

5. Generalized 𝑠-numbers of 𝜏-measurable operators;Fack, Thierry;Pacific J. Math.,1986

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