The Krein formula in almost Pontryagin spaces. A proof via orthogonal coupling

DOI10.1016/j.indag.2017.12.001zbMath1440.47030OpenAlexW2773706563MaRDI QIDQ1705760

Harald Woracek, Hendrik S. V. de Snoo

Publication date: 16 March 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://research.rug.nl/en/publications/the-krein-formula-in-almost-pontryagin-spaces-a-proof-via-orthogonal-coupling(8f862099-78b1-470f-be02-13967b1c321c).html

zbMATH Keywords

generalized resolventalmost Pontryagin spaceorthogonal couplingKrein's formula

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on spaces with an indefinite metric (47B50)

Related Items (1)

Reducibility of self-adjoint linear relations and application to generalized Nevanlinna functions

Cites Work

• Sums, couplings, and completions of almost Pontryagin spaces
• Operational calculus of linear relations
• Boundary relations and generalized resolvents of symmetric operators
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• The Krein formula for generalized resolvents in degenerated inner product spaces
• Compressed resolvents, \(Q\)-functions and \(h_0\)-resolvents in almost Pontryagin spaces
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• Restriction and Factorization for Isometric and Symmetric Operators in Almost Pontryagin Spaces
• On Indefinite Moment Problems and Resolvent Matrices of Hermitian Operators in Kreîn Spaces
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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