Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents
DOI10.1007/S11785-020-01073-4OpenAlexW3127423663MaRDI QIDQ2657315
Vladimir A. Derkach, Dmytro Baidiuk, Hassi, Seppo
Publication date: 12 March 2021
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.13812
characteristic functionWeyl functionPontryagin spaceboundary tripleisometric operatorboundary pairgeneralized coresolvent
Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Linear operators on spaces with an indefinite metric (47B50)
Cites Work
- On linear fractional transformations associated with generalized \(J\)-inner matrix functions
- Operational calculus of linear relations
- Resolvent matrices and spectral functions of an isometric operator
- Boundary relations and generalized resolvents of symmetric operators
- Generalized resolvents of an isometric operator in a Pontrjagin space
- Extensions of symmetric operators and symmetric binary relations
- Generalized resolvent matrices and spaces of analytic functions
- Schur functions, operator colligations, and reproducing kernel Pontryagin spaces
- The extension theory of Hermitian operators and the moment problem
- On generalized resolvents of Hermitian relations in Krein spaces
- Boundary triplets and generalized resolvents of isometric operators in a Pontryagin space
- Description of scattering matrices of unitary extensions of isometric operators in Pontryagin space
- A realization theorem for generalized Nevanlinna families
- The basic propositions on defect numbers, root numbers and indices of linear operators
- Boundary relations and their Weyl families
- Generalized boundary triples, I. Some classes of isometric and unitary boundary pairs and realization problems for subclasses of Nevanlinna functions
- EXTENSIONS AND GENERALIZED RESOLVENTS OF A SYMMETRIC OPERATOR WHICH IS NOT DENSELY DEFINED
- Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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