| Commutators of Non-Self-Adjoint Operator Algebras |
| Received:September 12, 2005 Revised:January 20, 2006 |
| Key Words:
Nest algebra TAF algebra commutator.
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| Fund Project:the National Natural Science Foundation of China (10371061); the Mathematical Tianyuan Foundation of China Grant (A0324614); |
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| Abstract: |
| Let $T$ be an associative algebra over the complex filed, and the commutator $[T, T]$ of $T$ be the linear span of the set $\{[a,b]:a,b\in T\}$. We describe the $\sigma-wot $ closure of the commutator of a nest algebra and the norm closure of the commutator of an TAF algebra. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.02.016 |
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