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. 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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC432972/	PubMed Central	Article
http://www.pnas.org/cgi/content/abstract/72/9/3277	Other	UNSPECIFIED
http://www.pnas.org/cgi/content/abstract/72/9/3277	Other	UNSPECIFIED

ORCID:

Author	ORCID
Simon, B.	0000-0003-2561-8539

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.

Funders:

Funding Agency	Grant Number
NSF	GP-40768X
Alfred P. Sloan Foundation	UNSPECIFIED
NSF	GP-39048

Subject Keywords:

exterior algebra, Fredholm theory

Issue or Number:

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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