On the essential spectra of regularly solvable operators in the direct sum spaces

DOI10.1216/rmjm/1181071653zbMath0947.47004OpenAlexW2030548179MaRDI QIDQ1806242

Sobhy El-Sayed Ibrahim

Publication date: 20 December 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol29-2/CONT29-2/CONT29-2.html

zbMATH Keywords

essential spectrumquasi-differential operatorminimal operatorsdirect sum spaceregularly solvable operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Spectral sets of linear operators (47A25)

Related Items (3)

The Spectra of General Differential Operators in the Direct Sum Spaces ⋮ Representation results for operators generated by quasi-differential multi-interval system in a Hilbert direct sum space ⋮ On spectral resolutions connected with self-adjoint differential vector-operators in a Hilbert space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular self-adjoint Sturm-Liouville problems
• Sturm-Liouville differential operators in direct sum spaces
• Formally self-adjoint quasidifferential operators
• Nonself-adjoint differential operators in direct sum spaces
• The point spectra and regularity fields of non-selfadjoint quasi- differential operators
• Non self-adjoint quasi-differential operators with discrete spectra
• Simplicity of linear ordinary differential operators
• Regularly solvable extensions of non-self-adjoint ordinary differential operators
• Boundary conditions for general ordinary differential operators and their adjoints
• On the essential spectra of linear 2nth order differential operators with complex coefficients
• Some Remarks on Linear Ordinary Quasi-Differential Expressions
• On the location of the essential spectra and regularity fields of complex Sturm—Liouville operators
• PERTURBATION OF THE LIMIT CIRCLE CASE
• On general boundary problems for elliptic differential equations
• Weighted Singular Differential Operators in the Limit-Circle Case

This page was built for publication: On the essential spectra of regularly solvable operators in the direct sum spaces