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On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
 
Creator Popova, N.D.
Samoilenko, Y.S.
 
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.
 
Date 2019-02-07T20:03:41Z
2019-02-07T20:03:41Z
2006
 
Type Article
 
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
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України