Extensions, dilations and functional models of discrete Dirac operators in limit point-circle cases

DOI10.1093/imamat/68.3.251zbMath1068.47038OpenAlexW1985292434MaRDI QIDQ4461827

Bilender P. Allahverdiev

Publication date: 18 May 2004

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/68.3.251

zbMATH Keywords

characteristic functionscattering matrixfunctional modelself-adjoint dilationmaximal dissipative operatorminimal symmetric operatorcompleteness of the system of eigenvectors and associated vectorsself-adjoint and nonself-adjoint extensionsspace of boundary valuesdiscrete Dirac systemlimit-point and limit-circle cases

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20) Dilations, extensions, compressions of linear operators (47A20) Discrete version of topics in analysis (39A12) Linear difference operators (47B39) Scattering theory of linear operators (47A40)

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