Standard symmetric operators in Pontryagin spaces: A generalized von Neumann formula and minimality of boundary coefficients

DOI10.1016/S0022-1236(02)00041-1zbMath1028.47027MaRDI QIDQ1868685

Branko Ćurgus, Tomas Ya. Azizov, Aalt Dijksma

Publication date: 28 April 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

boundary operatorsself-adjoint operations and relationsvon Neumann's equality

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (8)

Realization of nonstrict matrix Nevanlinna functions as Weyl functions of symmetric operators in Pontryagin spaces ⋮ Elliptic boundary value problems with \(\lambda \)-dependent boundary conditions ⋮ Weyl families of transformed boundary pairs ⋮ Operators without eigenvalues in finite-dimensional vector spaces: essential uniqueness of the model ⋮ On the similarity of boundary triples of symmetric operators in Krein spaces ⋮ Operators without eigenvalues in finite-dimensional vector spaces ⋮ On the reproducing kernel of a Pontryagin space of vector valued polynomials ⋮ Boundary value problems with eigenvalue depending boundary conditions

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