Some Commutator Estimates in the Schatten Classes
We prove inequalities of the type ∥|A|B−B|A|∥p ≤ kp∥AB − BA∥p for various classes of bounded operators on a Hilbert space, and various values of p in the range 1 < p < ∞, where ∥ ∥p denotes the Schatten p-norm.
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| Published in: | Journal of the London Mathematical Society Vol. s2-39; no. 2; pp. 299 - 308 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Oxford University Press
01-04-1989
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| Online Access: | Get full text |
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| Summary: | We prove inequalities of the type ∥|A|B−B|A|∥p ≤ kp∥AB − BA∥p for various classes of bounded operators on a Hilbert space, and various values of p in the range 1 < p < ∞, where ∥ ∥p denotes the Schatten p-norm. |
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| Bibliography: | ark:/67375/HXZ-WRVGTG5D-5 istex:7A09931E9AFDBD29892FF6FBA28E6D206FD8CD35 ArticleID:s2-39.2.299 Permanent address of first author. 45 Kitouni Abdelmalek, Constantine, Algeria Permanent address of first author 45 Kitouni Abdelmalek, Constantine, Algeria |
| ISSN: | 0024-6107 1469-7750 |
| DOI: | 10.1112/jlms/s2-39.2.299 |