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. In...
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| Datum: | 2006 |
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| 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 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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oai:nasplib.isofts.kiev.ua:123456789-1461672025-02-23T17:20:43Z On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles Popova, N.D. Samoilenko, Y.S. 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. 2006 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications application/pdf Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Popova, N.D. Samoilenko, Y.S. |
| spellingShingle |
Popova, N.D. Samoilenko, Y.S. On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Popova, N.D. Samoilenko, Y.S. |
| author_sort |
Popova, N.D. |
| title |
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_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_sort |
on the existence of configurations of subspaces in a hilbert space with fixed angles |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT popovand ontheexistenceofconfigurationsofsubspacesinahilbertspacewithfixedangles AT samoilenkoys ontheexistenceofconfigurationsofsubspacesinahilbertspacewithfixedangles |
| first_indexed |
2025-07-22T04:13:28Z |
| last_indexed |
2025-07-22T04:13:28Z |
| _version_ |
1838318993009541120 |