On selfadjoint dilation of the dissipative extension of a direct sum differential operator

DOI10.15352/bjma/1363784231zbMath1275.47095OpenAlexW2137986834MaRDI QIDQ1943753

Bilender P. Allahverdiev, Ekin Ugurlu

Publication date: 20 March 2013

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1363784231

zbMATH Keywords

characteristic functionscattering matrixspectral analysisdirect sum differential operators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Dilations, extensions, compressions of linear operators (47A20) Linear accretive operators, dissipative operators, etc. (47B44) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (8)

Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem ⋮ Left-definite Hamiltonian systems and corresponding nested circles ⋮ Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions ⋮ MINIMIZATION PRINCIPLE AND GENERALIZED FOURIER SERIES FOR DISCONTINUOUS STURM-LIOUVILLE SYSTEMS IN DIRECT SUM SPACES ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ Extensions of a minimal third-order formally symmetric operator ⋮ Coordinate-Free Approach for the Characteristic Function of a Fourth-Order Dissipative Operator ⋮ Dilatations of linear operators

Cites Work

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• Sturm-Liouville differential operators in direct sum spaces
• Dissipative Sturm-Liouville operators with nonseparated boundary conditions
• Spectral analysis of a nonselfadjoint Schrödinger problem with eigenparameter in the boundary condition
• Sturm–Liouville eigenproblems with an interior pole
• LIMIT-CIRCLE CRITERIA FOR SECOND-ORDER DIFFERENTIAL EXPRESSIONS
• Spectral analysis of dissipative Schrödinger operators

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