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Operator factorization on partially ordered Hilbert resolution spaces with finite parameter sets (Q1100705)

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scientific article; zbMATH DE number 4044520
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English
Operator factorization on partially ordered Hilbert resolution spaces with finite parameter sets
scientific article; zbMATH DE number 4044520

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    Operator factorization on partially ordered Hilbert resolution spaces with finite parameter sets (English)
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    1987
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    According to \textit{R. M. DeSantis} and \textit{W. A. Porter} [Math. System Theory 16, 67-77 (1983; Zbl 0505.93043)], the author gives a condition that operators can be factored as TT * where both of T and \(T^{-1}\) are causal for the case of a partially ordered Hilbert resolution space with a finite parameter set.
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    operator factorization
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    Hilbert resolution space
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    invariant subspace
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    causal operator
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