On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
Vernadsky National Library of Ukraine
Переглянути архів ІнформаціяПоле | Співвідношення | |
Title |
On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
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Creator |
Popova, N.D.
Samoilenko, Y.S. |
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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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Date |
2019-02-07T20:03:41Z
2019-02-07T20:03:41Z 2006 |
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Type |
Article
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Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/146167 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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