32 citations · 39 across the 6 of their papers we have counts for
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math.RT2006★ 2 cited
On the Existence of Configurations of Subspaces in a Hilbert Space with Fixed Angles
Natasha D. Popova, Yurii S. Samoilenko
For a class of -algebras, where -algebra is generated by projections associated with vertices of graph and depends on a parameter , we study…
math.OA2006★ 4 cited
Systems of subspaces and representations of -algebras generated by projections
Yu. P. Moskaleva, Yu. S. Samoilenko
In this paper we study a relationship between systems of subspaces and representations of -algebras generated by projections. We prove that irreducible nonequivalent -rep…
math.RT2006★ 1 cited
On Transitive Systems of Subspaces in a Hilbert Space
Yuliya P. Moskaleva, Yurii S. Samoilenko
Methods of *-representations in Hilbert space are applied to study of systems of subspaces in a linear space. It is proved that the problem of description of -transitive sub…