Regularly solvable extensions of non-self-adjoint ordinary differential operators

DOI10.1017/S0308210500031851zbMath0558.47027OpenAlexW2108337067MaRDI QIDQ3223407

W. Desmond Evans

Publication date: 1984

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500031851

zbMATH Keywords

self-adjoint extensionsdeficiencysecond-order differential operatorsJ-symmetriccompatible adjoint pairfield of regularitymaximal symmetricsymmetric extensions of symmetric operatorssymmetric, regularly solvable operators

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) Dilations, extensions, compressions of linear operators (47A20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (11)

The point spectra and regularity fields of non-selfadjoint quasi- differential operators ⋮ Classification of regularly solvable first-order differential operators ⋮ The Spectra of General Differential Operators in the Direct Sum Spaces ⋮ Non self-adjoint quasi-differential operators with discrete spectra ⋮ Boundary conditions for general ordinary differential operators and their adjoints ⋮ Boundary conditions for quasi-differential operators in \(L^p\) spaces ⋮ Singular non-selfadjoint differential operators ⋮ The spectra of well-posed operators ⋮ Nonself-adjoint differential operators in direct sum spaces ⋮ On the essential spectra of regularly solvable operators in the direct sum spaces ⋮ Symplectic structures of two kinds of nonsymmetric differential operators

Cites Work

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• On the boundary conditions characterizing J-sefladjoint extensions of J- symmetric operators
• Symmetric transformations in Hilbert space
• On the existence of J-selfadjoint extensions of J-symmetric operators with adjoint
• On general boundary problems for elliptic differential equations

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