Diagonalizing ``compact'' operators on Hilbert \(W^*\)-modules (Q1346951)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diagonalizing ``compact'' operators on Hilbert \(W^*\)-modules |
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Diagonalizing ``compact'' operators on Hilbert \(W^*\)-modules (English)
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30 March 1995
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Summary: For \(W^*\)-algebras \(A\) and self-dual Hilbert \(A\)-modules \({\mathcal M}\) we show that every selfadjoint, ``compact'' module operator on \({\mathcal M}\) is diagonalizable. Some specific properties of the eigenvalues and of the eigenvectors are described.
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diagonalization of compact operators
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selfadjoint compact module operator
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\(W^*\)-algebras
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self-dual Hilbert \(A\)-modules
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