Direct spectral problem for the generalized Jacobi Hermitian matrices

Authors

  • I. Ya. Ivasiuk Kyiv National Taras Shevchenko University, Mechanics and Mathematics Faculty, Department of Mathematical Analysis, 64 Volodymyrs'ka, Kyiv, 01033, Ukraine

DOI:

Keywords:

Abstract

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 consider its generalized eigenvector expansion.

Downloads

Published

2009-03-25

Issue

Vol. 15 No. 1 (2009)

Section

Articles

How to Cite

Ivasiuk, I. Ya. “Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices”. Methods of Functional Analysis and Topology, vol. 15, no. 1, Mar. 2009, pp. 3-14, https://zen.imath.kiev.ua/index.php/mfat/article/view/404.