Operator fractional-linear transformations: convexity and compactness of image; applications

DOI10.4064/sm-116-2-189-195zbMath0842.47022OpenAlexW834985691MaRDI QIDQ4857832

Viktor S. Shul'man, Victor A. Khatskevich

Publication date: 28 July 1996

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216226

zbMATH Keywords

exponential dichotomyindefinite metricevolution operatorweak operator topologyPontryagin spacehyperbolic casefractional-linear transformationsbehavior of solutions to evolution problems in a Hilbert spaceconvexity of the image

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Linear operators on spaces with an indefinite metric (47B50)

Related Items (5)

Operator linear-fractional relations: main properties, some applications ⋮ Fractional-linear transformations of operator balls; applications to dynamical systems ⋮ Operator linear-fractional relations: main properties and applications ⋮ On the Structure of Semigroups of Operators Acting in Spaces with Indefinite Metric ⋮ Convexity and weak closedness of the image of operator balls under linear-fractional transformations

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