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 |
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Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2009
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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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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. |
work_keys_str_mv |
AT ivasiukiya directspectralproblemforthegeneralizedjacobihermitianmatrices |
first_indexed |
2023-03-24T08:34:12Z |
last_indexed |
2023-03-24T08:34:12Z |
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1796139299707551744 |