On self-adjointness problem for Jacobi operator

• Autorzy: Poskrobko A.
• Języki publikacji: EN

Abstrakty

EN

In this article Jacob! operator L is considered. Known tests of self-adjointness of this operator are quoted, and new conditions of its self-adjointness are formulated.

Słowa kluczowe

EN

Jacobi operator; self-adjointness; relative boundedness

PL

operator Jacobi'ego

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 36
• Strony: 83--90
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Poskrobko A.

• Institute of Mathematics and Physics Białystok Technical University Wiejska 45, 15-351 Białystok, Poland,

Bibliografia

• [1] Akhiezer N.I., The Classical Moment Problem, Fizmatlit, Moscow 1961, [in Russian].
• [2] Berezanskii Yu.M., Expansions in Eigenfunctions of Self-Adjoint Operators, Naukowa Dumka, Kiev 1965, [in Russian].
• [3] Kato T., Perturbation theory for linear operators, Springer-Verlag, Berlin 1966..
• [4] Rudin W., Analiza funkcjonalna, PWN, Warszawa 2001.
• [5] Teschl G., Jacohi Operators and Completely Integrable Nonlinear Lattices, AMS, 1999.