A generalization of Stenger's lemma to maximal dissipative operators

DOI10.1007/S00020-011-1884-1zbMath1248.47037OpenAlexW2168460932WikidataQ124880956 ScholiaQ124880956MaRDI QIDQ645113

M. A. Nudel'man

Publication date: 8 November 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1884-1

zbMATH Keywords

maximal dissipative operatorpassive resistance systemStenger's lemma

Mathematics Subject Classification ID

Linear accretive operators, dissipative operators, etc. (47B44) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

Related Items (9)

Shorting, parallel addition and form sums of nonnegative selfadjoint linear relations ⋮ On compressions of self-adjoint extensions of a symmetric linear relation ⋮ 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 ⋮ Finite-codimensional compressions of symmetric and self-adjoint linear relations in Krein spaces ⋮ Everything is possible for the domain intersection dom \(T \cap\) dom \(T^\ast\) ⋮ 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

Cites Work

• Unitary colligations in \(\pi _ k\)-spaces, characteristic functions and Shtraus extensions
• On the projection of a selfadjoint operator
• Unnamed Item

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