Direct spectral problem for the generalized Jacobi Hermitian matrices

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.

Full Text

Article Information

Title	Direct spectral problem for the generalized Jacobi Hermitian matrices
Source	Methods Funct. Anal. Topology, Vol. 15 (2009), no. 1, 3-14
MathSciNet	MR2502634
Copyright	The Author(s) 2009 (CC BY-SA)

Authors Information

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

Citation Example

I. Ya. Ivasiuk, Direct spectral problem for the generalized Jacobi Hermitian matrices, Methods Funct. Anal. Topology 15 (2009), no. 1, 3-14.

BibTex

@article {MFAT474,
    AUTHOR = {Ivasiuk, I. Ya.},
     TITLE = {Direct spectral problem for the generalized Jacobi Hermitian matrices},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {15},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {3-14},
      ISSN = {1029-3531},
  MRNUMBER = {MR2502634},
       URL = {http://mfat.imath.kiev.ua/article/?id=474},
}