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. PMCID PMC432972. https://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.
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Additional Information: | © 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. | ||||||||||||
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Subject Keywords: | exterior algebra, Fredholm theory | ||||||||||||
Issue or Number: | 9 | ||||||||||||
PubMed Central ID: | PMC432972 | ||||||||||||
Record Number: | CaltechAUTHORS:SEIpnas75 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SEIpnas75 | ||||||||||||
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: | 02 Oct 2019 22:43 |
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