Published January 1, 2012
| Submitted
Journal Article
Open
All Schatten spaces endowed with the Schur product are Q-algebras
- Creators
- Briët, Jop
- Buhrman, Harry
- Lee, Troy
-
Vidick, Thomas
Chicago
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Abstract
We prove that the Banach algebra formed by the space of compact operators on a Hilbert space endowed with the Schur product is a quotient of a uniform algebra (also known as a Q-algebra). Together with a similar result of Pérez-García for the trace class, this completes the answer to a long-standing question of Varopoulos.
Additional Information
© 2011 Elsevier Inc. Published by Elsevier Inc. Received 8 April 2011, Accepted 1 September 2011, Available online 26 September 2011. Supported by a Vici grant from the Dutch Science Foundation (NWO) and EU-grant QCS. We thank the anonymous referee for helpful comments. J.B. thanks David Pérez-García and Ronald de Wolf for useful comments on earlier versions of this manuscript, Carlos Palazuelos for helpful suggestions and Carlos González Guillén for providing the reference [15].Attached Files
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Additional details
- Eprint ID
- 104624
- Resolver ID
- CaltechAUTHORS:20200728-153958382
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)
- European Research Council (ERC)
- Created
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2020-07-28Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field