Anderson, Joel (1977) Commutators of compact operators. Journal für die reine und angewandte Mathematik, 1977 (291). pp. 128-132. ISSN 1435-5345. doi:10.1515/crll.1977.291.128. https://resolver.caltech.edu/CaltechAUTHORS:20180806-135101571
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Abstract
In [4] Pearcy and Topping initiated the study of additive commutators of compact operators on Hilbert space and asked if each projection of rank one has this form. In [3] Brown and Schochet raised a more general question. Suppose H is an algebra of operators that contains the trace class operators and is commutative modulo the trace class operators. If A and B are elements of H and A is compact, then does the commutator [A,B] = AB – BA have trace 0? (This question arose from an attempt to generalize certain results obtained by Brown [2], Section 3, in the case where H is also a *-algebra.
| Item Type: | Article | ||||||
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| Additional Information: | © 1977 by Walter de Gruyter GmbH. | ||||||
| Issue or Number: | 291 | ||||||
| DOI: | 10.1515/crll.1977.291.128 | ||||||
| Record Number: | CaltechAUTHORS:20180806-135101571 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180806-135101571 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 88613 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 06 Aug 2018 21:05 | ||||||
| Last Modified: | 16 Nov 2021 00:28 |
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