On Transitive Systems of Subspaces in a Hilbert Space
Methods of *-representations in Hilbert space are applied to study of systems of n subspaces in a linear space. It is proved that the problem of description of n-transitive subspaces in a finite-dimensional linear space is *-wild for n ≥ 5.
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| Datum: | 2006 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2006
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/146166 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On Transitive Systems of Subspaces in a Hilbert Space / Y.P. Moskaleva, Y.S. Samoilenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. |
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irk-123456789-1461662019-02-08T01:24:17Z On Transitive Systems of Subspaces in a Hilbert Space Moskaleva, Y.P. Samoilenko, Y.S. Methods of *-representations in Hilbert space are applied to study of systems of n subspaces in a linear space. It is proved that the problem of description of n-transitive subspaces in a finite-dimensional linear space is *-wild for n ≥ 5. 2006 Article On Transitive Systems of Subspaces in a Hilbert Space / Y.P. Moskaleva, Y.S. Samoilenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 47A62; 16G20 http://dspace.nbuv.gov.ua/handle/123456789/146166 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Methods of *-representations in Hilbert space are applied to study of systems of n subspaces in a linear space. It is proved that the problem of description of n-transitive subspaces in a finite-dimensional linear space is *-wild for n ≥ 5. |
| format |
Article |
| author |
Moskaleva, Y.P. Samoilenko, Y.S. |
| spellingShingle |
Moskaleva, Y.P. Samoilenko, Y.S. On Transitive Systems of Subspaces in a Hilbert Space Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Moskaleva, Y.P. Samoilenko, Y.S. |
| author_sort |
Moskaleva, Y.P. |
| title |
On Transitive Systems of Subspaces in a Hilbert Space |
| title_short |
On Transitive Systems of Subspaces in a Hilbert Space |
| title_full |
On Transitive Systems of Subspaces in a Hilbert Space |
| title_fullStr |
On Transitive Systems of Subspaces in a Hilbert Space |
| title_full_unstemmed |
On Transitive Systems of Subspaces in a Hilbert Space |
| title_sort |
on transitive systems of subspaces in a hilbert space |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146166 |
| citation_txt |
On Transitive Systems of Subspaces in a Hilbert Space / Y.P. Moskaleva, Y.S. Samoilenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 12 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT moskalevayp ontransitivesystemsofsubspacesinahilbertspace AT samoilenkoys ontransitivesystemsofsubspacesinahilbertspace |
| first_indexed |
2025-07-10T23:20:14Z |
| last_indexed |
2025-07-10T23:20:14Z |
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1837303977940615168 |