On n-Tuples of Subspaces in Linear and Unitary Spaces
We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with positive coefficients, of orthogonal projections onto these subspaces equals the id...
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| Datum: | 2009 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/5700 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On n-Tuples of Subspaces in Linear and Unitary Spaces / Yu.S. Samoilenko, D.Yu. Yakymenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 48–60. — Библиогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728300249481216 |
|---|---|
| author | Samoilenko, Yu.S. Yakymenko, D.Yu. |
| author_facet | Samoilenko, Yu.S. Yakymenko, D.Yu. |
| citation_txt | On n-Tuples of Subspaces in Linear and Unitary Spaces / Yu.S. Samoilenko, D.Yu. Yakymenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 48–60. — Библиогр.: 34 назв. — англ. |
| collection | DSpace DC |
| description | We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with positive coefficients, of orthogonal projections onto these subspaces equals the identity operator. We prove that brick systems of one-dimensional subspaces and the systems obtained from them by applying the Coxeter functors (in particular, all brick triples and quadruples of subspaces) can be unitarized. For each brick triple and quadruple of subspaces, we describe sets of characters that admit a unitarization.
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| first_indexed | 2025-12-07T19:07:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5700 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-12-07T19:07:33Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Samoilenko, Yu.S. Yakymenko, D.Yu. 2010-02-02T12:58:40Z 2010-02-02T12:58:40Z 2009 On n-Tuples of Subspaces in Linear and Unitary Spaces / Yu.S. Samoilenko, D.Yu. Yakymenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 48–60. — Библиогр.: 34 назв. — англ. 1029-3531 https://nasplib.isofts.kiev.ua/handle/123456789/5700 We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with positive coefficients, of orthogonal projections onto these subspaces equals the identity operator. We prove that brick systems of one-dimensional subspaces and the systems obtained from them by applying the Coxeter functors (in particular, all brick triples and quadruples of subspaces) can be unitarized. For each brick triple and quadruple of subspaces, we describe sets of characters that admit a unitarization. en Інститут математики НАН України On n-Tuples of Subspaces in Linear and Unitary Spaces Article published earlier |
| spellingShingle | On n-Tuples of Subspaces in Linear and Unitary Spaces Samoilenko, Yu.S. Yakymenko, D.Yu. |
| title | On n-Tuples of Subspaces in Linear and Unitary Spaces |
| title_full | On n-Tuples of Subspaces in Linear and Unitary Spaces |
| title_fullStr | On n-Tuples of Subspaces in Linear and Unitary Spaces |
| title_full_unstemmed | On n-Tuples of Subspaces in Linear and Unitary Spaces |
| title_short | On n-Tuples of Subspaces in Linear and Unitary Spaces |
| title_sort | on n-tuples of subspaces in linear and unitary spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5700 |
| work_keys_str_mv | AT samoilenkoyus onntuplesofsubspacesinlinearandunitaryspaces AT yakymenkodyu onntuplesofsubspacesinlinearandunitaryspaces |