Fractional-linear transformations of operator balls; applications to dynamical systems (Q882729)

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scientific article; zbMATH DE number 5156863
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Fractional-linear transformations of operator balls; applications to dynamical systems
scientific article; zbMATH DE number 5156863

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    Fractional-linear transformations of operator balls; applications to dynamical systems (English)
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    24 May 2007
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    The authors deduce new criteria for convexity, compactness and nonemptyness of some special operator sets. They apply their methods in order to provide examples of certain operator sets which are nonconvex, noncompact in the weak topology and nonempty, and are generated by smooth operators in a special class.
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    compactness
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    convexity
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    linear fractional relation
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    operator ball
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    Krein space
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