Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices

• Date: 2009
• Main Author: Ivasiuk, I.Ya
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5704
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Direct spectral problem for the generalized Jacobi Hermitian matrices / I.Ya. Ivasiuk // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 3-14. — Бібліогр.: 7 назв. — англ.

In this article we will introduce and investigate some generalized Jacobi matrices. These matrices have three-diagonal block structure and they are Hermitian. We will give necessary and sufficient conditions for selfadjointness of the operator which is generated by the matrix of such a type, and con...