Finite-dimensional Self-adjoint Extensions of a Symmetric Operator with Finite Defect and their Compressions

DOI10.1007/978-3-319-62362-7_6OpenAlexW2757745387MaRDI QIDQ4637539

Aalt Dijksma, Heinz K. Langer

Publication date: 24 April 2018

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62362-7_6

zbMATH Keywords

Hilbert spacecompressiongeneralized resolventKrein's resolvent formulaself-adjoint extension\(Q\)-functionsymmetric and self-adjoint operators

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) Operator theory (47-XX)

Related Items (5)

On compressions of self-adjoint extensions of a symmetric linear relation ⋮ On compressions of self-adjoint extensions of a symmetric linear relation with unequal deficiency indices ⋮ Self-Adjoint Extensions of a Symmetric Linear Relation with Finite Defect: Compressions and Straus Subspaces ⋮ Compressions of self-adjoint extensions of a symmetric operator and M.G. Krein's resolvent formula ⋮ W. Stenger's and M. A. Nudelman's results and resolvent formulas involving compressions

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