Functional model for dissipative operators. A coordinate-free approach

DOI10.1007/BF01095663zbMath0784.47018MaRDI QIDQ1813849

B. M. Solomyak

Publication date: 25 June 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenfunctionsdilationCayley transformdissipative operatorsfunctional models for contractionscoordinate-free approachproper dissipative extension

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (7)

Linearly similar Szökefalvi-Nagy–Foias model in a domain ⋮ Functions of perturbed dissipative operators ⋮ Dissipative operators and operator Lipschitz functions ⋮ Dissipative operator and its Cayley transform ⋮ Compressed resolvents, Schur functions, Nevanlinna families and their transformations ⋮ On a completely non-unitary contraction and associated dissipative difference operator ⋮ Coordinate-Free Approach for the Characteristic Function of a Fourth-Order Dissipative Operator

Cites Work

• SELFADJOINT DILATION OF THE DISSIPATIVE SCHRÖDINGER OPERATOR AND ITS RESOLUTION IN TERMS OF EIGENFUNCTIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Functional model for dissipative operators. A coordinate-free approach