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Published September 1975 | Version Published
Journal Article Open

An inequality among determinants

Creators

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.

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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Additional details

Identifiers

PMCID
PMC432972
Eprint ID
1459
Resolver ID
CaltechAUTHORS:SEIpnas75

Related works

Describes
http://www.pnas.org/cgi/content/abstract/72/9/3277 (URL)

Funding

NSF
GP-40768X
Alfred P. Sloan Foundation
NSF
GP-39048

Dates

Created
2006-01-19
Created from EPrint's datestamp field
Updated
2019-10-02
Created from EPrint's last_modified field

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Caltech groups
Mathematics Department , Physics Department