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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2006
• Hauptverfasser: Popova, N.D., Samoilenko, Y.S.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2006
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/146167
• 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.

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...