Operator linear-fractional relations: main properties, some applications

DOI10.1007/s10958-013-1406-6zbMath1294.47003OpenAlexW4255972361MaRDI QIDQ378022

Valerii A. Senderov, Victor A. Khatskevich

Publication date: 20 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1406-6

zbMATH Keywords

factorizationAbel-Schröder equationKönigs problemoperator linear-fractional relation

Mathematics Subject Classification ID

Equations involving linear operators, with operator unknowns (47A62) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50)

Cites Work

• Extreme fixed points of operator LFT, applications to the Königs problem
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• The Abel--Schröder equation for linear-fractional mappings of operator balls.
• Schröder's functional equation and the Koenigs embedding property.
• On linear-fractional relations and images of angular operators
• The Koenigs embedding problem for linear fractional maps of operator balls
• On the Structure of Semigroups of Operators Acting in Spaces with Indefinite Metric
• Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk
• An extension of invariant dual pairs
• Generalized fractional linear transformations: convexity and compactness of the image and the pre-image; applications.
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• Linear fractional relations for Hilbert space operators
• INDEFINITELY ISOMETRIC LINEAR OPERATORS IN A REFLEXIVE BANACH SPACE
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