W. Stenger's and M. A. Nudelman's results and resolvent formulas involving compressions

DOI10.1007/S43036-020-00050-0zbMath1481.47035OpenAlexW3012387631WikidataQ124629932 ScholiaQ124629932MaRDI QIDQ782533

Heinz K. Langer, Aalt Dijksma

Publication date: 27 July 2020

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-020-00050-0

zbMATH Keywords

Hilbert spaceNevanlinna functiondilationself-adjoint operatorcompressionextensiongeneralized resolventsymmetric operatordissipative operatorKrein's resolvent formula

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) 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)

Cites Work

• Unnamed Item
• A generalization of Stenger's lemma to maximal dissipative operators
• Unitary colligations in \(\pi _ k\)-spaces, characteristic functions and Shtraus extensions
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein's resolvent formula
• Closedness and adjoints of products of operators, and compressions
• Compressions of maximal dissipative and self-adjoint linear relations and of dilations
• Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions
• On the projection of a selfadjoint operator
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)

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