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An inequality among determinants

Seiler, E. and Simon, B. (1975) An inequality among determinants. Proceedings of the National Academy of Sciences of the United States of America, 72 (9). pp. 3277-3278. ISSN 0027-8424. http://resolver.caltech.edu/CaltechAUTHORS:SEIpnas75

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Abstract

We prove that for any trace class operators, A,B, det (1+|A+B|) ≤ det (1+|A|) det (1+|B|) where |C| = (C*C)1/2.


Item Type:Article
Additional Information:Copyright © 1975 by the National Academy of Sciences. Communicated by A. S. Wightman, June 9, 1975. It is a pleasure to thank E. Lieb for a useful discussion. E.S. was partially supported by USNSF under Grant GP-40768X. B.S. is an A. Sloan Fellow, partially supported by USNSF under Grant GP-39048.
Subject Keywords:exterior algebra, Fredholm theory
Record Number:CaltechAUTHORS:SEIpnas75
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SEIpnas75
Alternative URL:http://www.pnas.org/cgi/content/abstract/72/9/3277
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1459
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:19 Jan 2006
Last Modified:26 Dec 2012 08:44

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