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All-derivable points in continuous nest algebras - MaRDI portal

All-derivable points in continuous nest algebras (Q2470480)

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All-derivable points in continuous nest algebras
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    All-derivable points in continuous nest algebras (English)
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    14 February 2008
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    Let \(N\) be a continuous nest on a complex and separable Hilbert space \(H\). In the paper under review, the authors prove that if \(\{0\}\not= M\in N\), then the orthogonal projection operator \(P(M)\) is an all-derivable point of the nest algebra \(\operatorname{alg} N\) for the strong operator topology.
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    all-derivable point
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    nest algebra
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    rank one operator
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    strong operator topology
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    orthogonal decomposition
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