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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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Bibliographic Details
Main Authors: Popova, N.D., Samoilenko, Y.S.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146167
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