Vol. 191, No. 2, 1999

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Obstructions to diagonalization modulo Lorentz ideals

H. Bercovici, L. Kérchy and R. Kovac

Vol. 191 (1999), No. 2, 201–206
Abstract

We show that the results of David and Voiculescu (concerning the singular values of certain singular integral operators) yield obstruction results for a large class of ideals of compact operators. Diagonalization results which are counterparts of some of these obstructions were proved by Xia.

Milestones
Received: 31 March 1998
Published: 1 December 1999
Authors
H. Bercovici
Indiana University
Bloomington, IN 47405
L. Kérchy
Bolyai Institute, University of Szeged
6720 Szeged
Hungary
R. Kovac
University of Minnesota-Duluth
Duluth, MN 55812