Representations of unitary relations between Kreĭn spaces

DOI10.1007/S00020-011-1942-8zbMath1277.47005OpenAlexW2006198098MaRDI QIDQ434291

Hendrik Luit Wietsma

Publication date: 10 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00020-011-1942-8

zbMATH Keywords

Krein spaceWeyl functionvon Neumann formulasboundary tripletextension theoryunitary relation

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Symmetric and Isometric Relations

Cites Work

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• Operational calculus of linear relations
• Boundary value problems for elliptic partial differential operators on bounded domains
• Dirac structures and their composition on Hilbert spaces
• Boundary relations and generalized resolvents of symmetric operators
• Reconstruction of a continuous representation with respect to a subrepresentation and a factor representation
• On Weyl function and generalized resolvents of a Hermitian operator in a Krein space
• The extension theory of Hermitian operators and the moment problem
• Block representations for classes of isometric operators between Kreĭn spaces
• Boundary relations and their Weyl families
• On linear relations in an indefinite inner product space

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