On n-Tuples of Subspaces in Linear and Unitary Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On n-Tuples of Subspaces in Linear and Unitary Spaces
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| Creator |
Samoilenko, Yu.S.
Yakymenko, D.Yu. |
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| 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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| Date |
2010-02-02T12:58:40Z
2010-02-02T12:58:40Z 2009 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/5700 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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