Unitary extensions of two-parameter local semigroups of isometric operators and the Krein extension theorem

DOI10.1007/BF01200288zbMath0796.47030OpenAlexW1978059996MaRDI QIDQ1316476

Ramón Bruzual

Publication date: 14 March 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200288

zbMATH Keywords

Eskin bidimensional version of the Krein extension theoremstrongly continuous two-parameter group of unitary operatorstwo-parameter local semigroups of isometric operators in Hilbert space

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Positive definite functions in one variable harmonic analysis (42A82)

Related Items (2)

Representation of measurable positive definite generalized Toeplitz kernels in \(\mathbb{R}\) ⋮ On extensions of indefinite functions defined on a rectangle

Cites Work

• Analytic vectors
• On the extensions of positive definite functions
• Multi-parameter local semi-groups of Hermetian operators
• Positive definite functions on the Heisenberg group
• Extensions of positive definite integral kernels on the Heisenberg group
• Local semigroups of contractions and some applications to Fourier representation theorems
• Construction of a unique self-adjoint generator for a symmetric local semigroup
• On extensions of positive definite operator-valued functions
• The extension problem for positive-definite functions
• Über indexerhaltende Erweiterungen eines hermiteschen Operators im Pontrjaginraum
• Theory of Reproducing Kernels
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