Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces

DOI10.1007/s00020-016-2313-2zbMath1454.47045OpenAlexW2519837373MaRDI QIDQ515964

Aalt Dijksma, Tomas Ya. Azizov, Branko Ćurgus

Publication date: 17 March 2017

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

Full work available at URL: https://research.rug.nl/en/publications/finitecodimensional-compressions-of-symmetric-and-selfadjoint-linear-relations-in-krein-spaces(6e741d9c-ec8d-4522-a33c-51c1dc5e89a8).html

zbMATH Keywords

Hilbert spaceKrein spacecritical pointscompressiondefect numbersself-adjointnesssymmetriclinear relationdefinitisabilityinvariant nonnegative subspace

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Linear accretive operators, dissipative operators, etc. (47B44) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50)

Related Items (3)

On compressions of self-adjoint extensions of a symmetric linear relation ⋮ Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions ⋮ Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein's resolvent formula

Cites Work

• A generalization of Stenger's lemma to maximal dissipative operators
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• Eine Verallgemeinerung eines Satzes von L. S. Pontrjagin
• Zur Spektraltheorie J-selbstadjungierter Operatoren
• On Domains of Powers of Linear Operators and Finite Rank Perturbations
• Symmetric and selfadjoint relations in Krein spaces II
• On the projection of a selfadjoint operator
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