Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices

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...

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Дата:2009
Автор: Ivasiuk, I.Ya
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2009
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/5704
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-57042010-02-03T12:01:06Z Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices Ivasiuk, I.Ya 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. 2009 Article 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. 1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5704 en Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Ivasiuk, I.Ya
spellingShingle Ivasiuk, I.Ya
Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
author_facet Ivasiuk, I.Ya
author_sort Ivasiuk, I.Ya
title Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
title_short Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
title_full Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
title_fullStr Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
title_full_unstemmed Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices
title_sort direct spectral problem for the generalized jacobi hermitian matrices
publisher Інститут математики НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/5704
citation_txt 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.
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first_indexed 2023-03-24T08:34:12Z
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