Self-adjoint extension and spectral theory of a linear relation in a Hilbert space

DOI10.1155/2014/471640zbMath1285.47003OpenAlexW2092927688WikidataQ59048273 ScholiaQ59048273MaRDI QIDQ2449028

Keshav Raj Acharya

Publication date: 6 May 2014

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/471640

zbMATH Keywords

Hilbert spacespectral theorydefect indicesselfadjoint extensionsymmetric relation

Mathematics Subject Classification ID

Linear relations (multivalued linear operators) (47A06)

Related Items (4)

COMPACT LINEAR RELATIONS AND THEIR SPECTRAL PROPERTIES KESHAV RAJ ACHARYA AND MATT MCBRIDE ⋮ An alternate proof of the De Branges theorem on canonical systems ⋮ Dissipative extension theory for linear relations ⋮ Canonical decomposition for dissipative linear relations

Cites Work

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• Operational calculus of linear relations
• Self-adjoint extensions of symmetric subspaces
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• Boundary-value problems for two-dimensional canonical systems
• Schrödinger operators and de Branges spaces.
• Extension theory of formally normal and symmetric subspaces
• Subordinate solutions and spectral measures of canonical systems

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