Published July 1985
| Published
Journal Article
Open
Inequalities of Schwarz and Hölder type for random operators
- Creators
- Hegerfeldt, Gerhard C.
Abstract
Let A and B be random operators on a Hilbert space, and let 〈 〉 denote averages (expectations). We prove the inequality ||〈A*B〉||≤||〈A*A〉||^1/2||〈B*B〉||^1/2. A generalized Hölder inequality involving traces is also proved.
Additional Information
Copyright © 1985 American Institute of Physics. Received 13 November 1984; accepted 4 January 1985. I would like to thank Mary Beth Ruskai for pointing out Ref. 2. My thanks also go to W.A.J. Luxemburg and B. Simon for the hospitality extended to me at Caltech. This work was supported in part by the Stiftung Volkswagenwerk.Attached Files
Published - HEGjmp85.pdf
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Additional details
- Eprint ID
- 12187
- Resolver ID
- CaltechAUTHORS:HEGjmp85
- Stiftung Volkswagenwerk
- Created
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2008-10-28Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field