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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| Date: | 2009 |
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| Main Authors: | , |
| 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/123456789/5700 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| id |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On n-Tuples of Subspaces in Linear and Unitary Spaces |
| spellingShingle |
On n-Tuples of Subspaces in Linear and Unitary Spaces Samoilenko, Yu.S. Yakymenko, D.Yu. |
| title_short |
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_sort |
on n-tuples of subspaces in linear and unitary spaces |
| author |
Samoilenko, Yu.S. Yakymenko, D.Yu. |
| author_facet |
Samoilenko, Yu.S. Yakymenko, D.Yu. |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1029-3531 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/5700 |
| 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. |
| work_keys_str_mv |
AT samoilenkoyus onntuplesofsubspacesinlinearandunitaryspaces AT yakymenkodyu onntuplesofsubspacesinlinearandunitaryspaces |
| first_indexed |
2025-12-07T19:07:33Z |
| last_indexed |
2025-12-07T19:07:33Z |
| _version_ |
1850877624558026752 |