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

DOI10.1007/978-3-7643-8911-6_10zbMath1171.47033OpenAlexW200863302MaRDI QIDQ3613527

Victor A. Khatskevich, Valerii A. Senderov

Publication date: 12 March 2009

Published in: Spectral Theory in Inner Product Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-8911-6_10

zbMATH Keywords

Krein spaceindefinite metriclinear operatorcontinuous one-parameter semigroup, plus-operators

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Groups and semigroups of linear operators (47D03) Linear operators and ill-posed problems, regularization (47A52) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Operator linear-fractional relations: main properties, some applications

Cites Work

• Fractional-linear transformations of operator balls; applications to dynamical systems
• On properties of linear operators of certain classes in rigged spaces with indefinite metric
• Powers of plus-operators
• Schröder's functional equation and the Koenigs embedding property.
• Plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems with discrete time
• 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
• INDEFINITELY ISOMETRIC LINEAR OPERATORS IN A REFLEXIVE BANACH SPACE
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