Closedness and adjoints of products of operators, and compressions (Q1946539)

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scientific article; zbMATH DE number 6153918
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Closedness and adjoints of products of operators, and compressions
scientific article; zbMATH DE number 6153918

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    Closedness and adjoints of products of operators, and compressions (English)
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    15 April 2013
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    The authors reprove and slightly improve theorems of \textit{M. A. Nudelman} [Integral Equations Oper. Theory 70, No.~3, 301--305 (2011; Zbl 1248.47037)] and \textit{W. Stenger} [Bull. Am. Math. Soc. 74, 369--372 (1968; Zbl 0153.45105)] about compressions of maximal dissipative and self-adjoint operators to subspaces of finite codimension and discuss related results concerning the closedness and the adjoint of a product of two operators on a Hilbert space.
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    Banach space
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    Hilbert space
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    Krein space
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    conjugate
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    adjoint
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    closure
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    product
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    compression
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    symmetric
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    self-adjoint
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    dissipative
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    maximal dissipative
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    polar decomposition
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    dense set
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    codimension
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