On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
For a class of *-algebras, where *-algebra AΓ,τ is generated by projections associated with vertices of graph Γ and depends on a parameter τ (0 < τ ≤ 1), we study the sets ΣΓ of values of τ such that the algebras AΓ,τ have nontrivial *-representations, by using the theory of spectra of graphs...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2006 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146167 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles / N.D. Popova, Y.S. Samoilenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862529997682507776 |
|---|---|
| author | Popova, N.D. Samoilenko, Y.S. |
| author_facet | Popova, N.D. Samoilenko, Y.S. |
| citation_txt | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles / N.D. Popova, Y.S. Samoilenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | For a class of *-algebras, where *-algebra AΓ,τ is generated by projections associated with vertices of graph Γ and depends on a parameter τ (0 < τ ≤ 1), we study the sets ΣΓ of values of τ such that the algebras AΓ,τ have nontrivial *-representations, by using the theory of spectra of graphs. In other words, we study such values of τ that the corresponding configurations of subspaces in a Hilbert space exist.
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| first_indexed | 2025-11-24T02:39:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146167 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T02:39:08Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Popova, N.D. Samoilenko, Y.S. 2019-02-07T20:03:41Z 2019-02-07T20:03:41Z 2006 On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles / N.D. Popova, Y.S. Samoilenko // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 9 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 16G99; 20C08 https://nasplib.isofts.kiev.ua/handle/123456789/146167 For a class of *-algebras, where *-algebra AΓ,τ is generated by projections associated with vertices of graph Γ and depends on a parameter τ (0 < τ ≤ 1), we study the sets ΣΓ of values of τ such that the algebras AΓ,τ have nontrivial *-representations, by using the theory of spectra of graphs. In other words, we study such values of τ that the corresponding configurations of subspaces in a Hilbert space exist. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles Article published earlier |
| spellingShingle | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles Popova, N.D. Samoilenko, Y.S. |
| title | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles |
| title_full | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles |
| title_fullStr | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles |
| title_full_unstemmed | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles |
| title_short | On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles |
| title_sort | on the existence of configurations of subspaces in a hilbert space with fixed angles |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146167 |
| work_keys_str_mv | AT popovand ontheexistenceofconfigurationsofsubspacesinahilbertspacewithfixedangles AT samoilenkoys ontheexistenceofconfigurationsofsubspacesinahilbertspacewithfixedangles |