On an approach to the construction of the Friedrichs and Neumann-Krein extensions of nonnegative linear relations

DOI10.15330/cmp.10.2.387-394OpenAlexW2906825548WikidataQ128675400 ScholiaQ128675400MaRDI QIDQ4633483

O. G. Storozh

Publication date: 3 May 2019

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.10.2.387-394

zbMATH Keywords

Hilbert spaceextensionoperatorrelationboundary value space

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Linear relations (multivalued linear operators) (47A06)

Related Items (2)

Maximally accretive and nonnegative extensions of a nonnegative linear relation ⋮ Maximal nonnegative and $\theta$-accretive extensions of a positive definite linear relation

Cites Work

• Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations
• Operational calculus of linear relations
• Self-adjoint extensions of symmetric subspaces
• Extensions of symmetric operators and symmetric binary relations
• Positive selfadjoint extensions of positive symmetric subspaces
• The extension theory of Hermitian operators and the moment problem
• Positive selfadjoint extensions of positive symmetric operators
• Extremal extensions of a nonnegative operator, and accretive boundary-value problems
• Selfadjoint subspace extensions of nondensely defined symmetric operators
• Operators satisfying smoothness conditions
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