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Volume 6, Issue 3, Article 90 |
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Another Version of Anderson's Inequality in the Ideal of all Compact Operators
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Authors: |
Mecheri Salah, |
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Keywords:
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Generalized derivation, Orthogonality, Compact operators. |
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Date Received:
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02/04/03 |
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Date Accepted:
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16/06/05 |
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Subject Codes: |
Primary 47B47, 47A30, 47B20; Secondary 4
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Editors: |
Alexander G. Babenko, |
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Abstract: |
This note studies how certain problems in quantum theory have motivated some recent research in pure Mathematics in matrix and operator theory. The mathematical key is that of a commutator. We introduce the notion of the pair (A,B) of operators having the Fuglede-Putnam's property in the ideal of all compact operators. The characterization of this class leads us to generalize some recent results. We also give some applications of these results.
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