Description of scattering matrices of unitary extensions of isometric operators in Pontryagin space

DOI10.1134/S0001434613110333zbMath1306.47021MaRDI QIDQ2440006

Dmytro Baidiuk

Publication date: 26 March 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

scattering matrixWeyl functionresolvent matrixSchur classPontryagin spaceNevanlinna-Pick problembitangent interpolation problemunitary extension of an isometric operator

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50)

Related Items (2)

Unitary boundary pairs for isometric operators in Pontryagin spaces and generalized coresolvents ⋮ Boundary triplets and generalized resolvents of isometric operators in a Pontryagin space

Cites Work

• Generalized resolvents and the boundary value problems for Hermitian operators with gaps
• On generalized resolvents of Hermitian relations in Krein spaces
• An Abstract Interpolation Problem and the Extension Theory of Hermitian Operators
• Unnamed Item

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