Yu. P. Moskaleva
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Methods Funct. Anal. Topology 13 (2007), no. 1, 43-49
We study conditions under which the images of irreducible quadruples of linearly connected projections give rise to all transitive systems of subspaces in a finite dimensional Hilbert space.
Methods Funct. Anal. Topology 12 (2006), no. 1, 57-73
In the present work a relationship between systems of n subspaces and representations of *-algebras generated by projections is investigated. It is proved that irreducible nonequivalent *-representations of *-algebras P4,com generate all nonisomorphic transitive quadruples of subspaces of a finite dimensional space.