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On strong unboundedness of symmetric operators - MaRDI portal

On strong unboundedness of symmetric operators (Q1076312)

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scientific article; zbMATH DE number 3953623
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English
On strong unboundedness of symmetric operators
scientific article; zbMATH DE number 3953623

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    On strong unboundedness of symmetric operators (English)
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    1986
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    Summary: It will be shown that for each positive odd integer n there is a symmetric operator \({\mathcal T}\) in a separable Hilbert space \({\mathcal H}\) sucht hat \({\mathcal T}\), \({\mathcal T}^ 3,...,{\mathfrak T}^ n\) are unbounded from below and \({\mathcal T}^ k\geq 0\) for \(k>n\).
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    symmetric operator
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    unbounded from below
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