Guseinov, GSMathematics2024-07-052024-07-0520021023-61981563-512010.1080/10261902900173882-s2.0-0036004592https://doi.org/10.1080/1026190290017388https://hdl.handle.net/20.500.14411/1116In this paper we consider a dissipative linear operator generated in the Hilbert space l(2) by a second order difference expression on the semi-axis (in other words, by an infinite Jacobi matrix) in the Weyl-Hamburger limit-circle case. This operator is constructed via a boundary condition at infinity. We prove the completeness in 2 of the system of eigenvectors and associated vectors of the dissipative operator which is considered.eninfo:eu-repo/semantics/closedAccessinfinite Jacobi matrixeigenvalueeigenvectors and associated vectorscompletenessArticleQ3Q384321331WOS:0001757926000048