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. 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.
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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: | 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: | 01 May 2017 23:02 |
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