Boundary relations and their Weyl families

DOI10.1090/S0002-9947-06-04033-5zbMath1123.47004OpenAlexW2075777845MaRDI QIDQ3420325

Hassi, Seppo, Hendrik S. V. de Snoo, Vladimir A. Derkach, Mark M. Malamud

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04033-5

zbMATH Keywords

Weyl functionsymmetric operatorKreĭn spaceboundary tripletunitary relationselfadjoint extensionboundary relationNevanlinna familyWeyl family

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) Linear relations (multivalued linear operators) (47A06) Linear operators on spaces with an indefinite metric (47B50) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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Cites Work

• Operational calculus of linear relations
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• The extension theory of Hermitian operators and the moment problem
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• On a formula of the generalized resolvents of a nondensely defined Hermitian operator
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
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