Selfadjoint extensions of regular canonical systems with Stieltjes boundary conditions

DOI10.1016/0022-247X(90)90084-SzbMath0714.34032MaRDI QIDQ750699

A. A. El Sabbagh, Aalt Dijksma, Hendrik S. V. de Snoo

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

symmetric operatorsgeneralized resolventSelfadjoint extensionsStieltjes boundary conditions

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (8)

Quantities related to upper and lower semi-Fredholm type linear relations ⋮ Coperturbation function and lower semi-Browder multivalued linear operators ⋮ Drazin inverse of multivalued operators and its applications ⋮ STRICTLY SINGULAR PERTURBATION OF ALMOST SEMI-FREDHOLM LINEAR RELATIONS IN NORMED SPACES ⋮ The linearization of boundary eigenvalue problems and reproducing kernel Hilbert spaces ⋮ The spectrum of differential operators of order \(2n\) with almost constant coefficients ⋮ Perturbation theory for selfadjoint relations ⋮ Adjoint characterisations of quasi-weakly compact linear relations.

Cites Work

• Eigenfunction expansions associated with pairs of ordinary differential expressions
• Selfadjoint \(\Pi _{\kappa}\)-extensions of symmetric subspaces: An abstract approach to boundary problems with spectral parameter in the boundary conditions
• L-resolvent matrices of symmetric linear relations with equal defect numbers; applications to canonical differential relations
• Self-adjoint extensions of symmetric subspaces
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• Self-adjoint problems for nondensely defined ordinary differential operators and their eigenfunction expansions
• Linear integro-differential-boundary-parameter problems
• The development of general differential and general differential-boundary systems
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• n-th order Stieltjes differential-boundary operators and Stieltjes differential-boundary systems
• Differential subspaces associated with pairs of ordinary differential expressions
• Spectral functions of a symmetric linear relation with a directing mapping, I
• Spectral functions of a symmetric linear relation with a directing mapping, II
• Generalized Resolvents of Ordinary Differential Operators
• Extension theory of formally normal and symmetric subspaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Selfadjoint extensions of regular canonical systems with Stieltjes boundary conditions