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

DOI10.1007/s10114-005-0694-2zbMath1125.47030OpenAlexW2395496214MaRDI QIDQ882729

Valerii A. Senderov, Victor A. Khatskevich

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0694-2

zbMATH Keywords

convexityKrein spacecompactnessoperator balllinear fractional relation

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

On the Structure of Semigroups of Operators Acting in Spaces with Indefinite Metric

Cites Work

• On the convexity, compactness, and nonemptiness of images and preimages of linear fractional operator relations
• Generalized fractional linear transformations: convexity and compactness of the image and the pre-image; applications.
• Operator fractional-linear transformations: convexity and compactness of image; applications
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