Extensions of symmetric infinite Jacobi operator

DOI10.1080/03081087.2013.811501zbMath1321.47075OpenAlexW2042657907MaRDI QIDQ2926014

Bilender P. Allahverdiev

Publication date: 29 October 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2013.811501

zbMATH Keywords

symmetric operatormaximal dissipative operatorinfinite Jacobi matrixsolvable extensionspositive definite self-adjoint and non self-adjoint extensionsspace of positive boundary values

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Linear difference operators (47B39) Linear accretive operators, dissipative operators, etc. (47B44) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (1)

On extensions of singular fourth order dynamic operators on time scales

Cites Work

• Boundary conditions at infinity for difference equations of limit-circle type
• The classical moment problem as a self-adjoint finite difference operator
• A spectral analysis for self-adjoint operators generated by a class of second order difference equations
• On the Krein and Friedrichs extensions of a positive Jacobi operator
• Extensions, Dilations and Functional Models of Infinite Jacobi Matrix
• On the Friedrichs extension of semi-bounded difference operators

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