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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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/5704 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862549748390559744 |
|---|---|
| author | Ivasiuk, I.Ya |
| author_facet | Ivasiuk, I.Ya |
| 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. |
| collection | DSpace DC |
| 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.
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| first_indexed | 2025-11-25T20:39:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5704 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-11-25T20:39:16Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ivasiuk, I.Ya 2010-02-02T13:01:20Z 2010-02-02T13:01:20Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5704 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. en Інститут математики НАН України Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices Article published earlier |
| spellingShingle | Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices Ivasiuk, I.Ya |
| title | 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_short | Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices |
| title_sort | direct spectral problem for the generalized jacobi hermitian matrices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5704 |
| work_keys_str_mv | AT ivasiukiya directspectralproblemforthegeneralizedjacobihermitianmatrices |