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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146166 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862608491503419392 |
|---|---|
| author | Moskaleva, Y.P. Samoilenko, Y.S. |
| author_facet | Moskaleva, Y.P. Samoilenko, Y.S. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-11-28T17:33:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146166 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T17:33:22Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Moskaleva, Y.P. Samoilenko, Y.S. 2019-02-07T20:02:45Z 2019-02-07T20:02:45Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/146166 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. The authors are grateful to S.A. Kruglyak for useful remarks and suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Transitive Systems of Subspaces in a Hilbert Space Article published earlier |
| spellingShingle | On Transitive Systems of Subspaces in a Hilbert Space Moskaleva, Y.P. Samoilenko, Y.S. |
| title | 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_short | On Transitive Systems of Subspaces in a Hilbert Space |
| title_sort | on transitive systems of subspaces in a hilbert space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146166 |
| work_keys_str_mv | AT moskalevayp ontransitivesystemsofsubspacesinahilbertspace AT samoilenkoys ontransitivesystemsofsubspacesinahilbertspace |