Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\) (Q2264073)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\) |
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Almost normal operators mod Hilbert-Schmidt and the \(K\)-theory of the algebras \(E \Lambda (\Omega)\) (English)
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20 March 2015
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The author extends the Brown-Douglas-Fillmore theory of normal operators to the Hilbert-Schmidt perturbations of normal operators. A~new technical ingredient of such a generalization is some \(E\Lambda(\Omega)\) Banach \(\ast\)-algebra, which has surprisingly nice \(K\)-theory.
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normal operator
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trace-class self-commutator
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\(K\)-theory
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Dirichlet algebras
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bidual Banach algebra
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Brown-Douglas-Fillmore theory
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