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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