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Question of the domains of definition of fractional powers of accretive operators - MaRDI portal

Question of the domains of definition of fractional powers of accretive operators (Q1114914)

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scientific article; zbMATH DE number 4086373
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English
Question of the domains of definition of fractional powers of accretive operators
scientific article; zbMATH DE number 4086373

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    Question of the domains of definition of fractional powers of accretive operators (English)
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    1988
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    The author gives a positive answer to a delicate problem of T. Kato, by proving that for each \(a>0\) there exists a regularly accretive operator in a complex Hilbert space, such that \(D(A_ a^{1/2})\neq D(A_ a^{*})\).
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    fractional power
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    regularly accretive operator
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