Friedrichs and Krein extensions of positive operators and holomorphic contraction semigroups

DOI10.1007/BF01106169zbMath0479.47023OpenAlexW1979884136MaRDI QIDQ1161970

Eduard Tsekanovskii

Publication date: 1982

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01106169

zbMATH Keywords

Friedrichs extensionsholomorphic semi-groupKrein extensionspositive selfadjoint extensionspositive symmetric operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Linear accretive operators, dissipative operators, etc. (47B44)

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Spectral theory for perturbed Krein Laplacians in nonsmooth domains ⋮ The Krein–von Neumann extension revisited ⋮ On realization of the original Weyl-Titchmarsh functions by Shrödinger L-systems ⋮ A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains ⋮ A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains ⋮ The Krein-von Neumann extension for Schrödinger operators on metric graphs ⋮ The nonproper dissipative extensions of a dual pair ⋮ On sectorial L-systems with Shrödinger operator ⋮ On the c-entropy of L-systems with Schrödinger operator ⋮ Accretive (*)-extensions and Realization Problems

Cites Work

• Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. I
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)