# K. A. Yusenko

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Articles: 2

### On quadruples of linearly connected projections and transitive systems of subspaces

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.

### On existence of $*$-representations of certain algebras related to extended Dynkin graphs

Kostyantyn Yusenko

Methods Funct. Anal. Topology 12 (2006), no. 2, 197-204

For $*$-algebras associated with extended Dynkin graphs, we investigate a set of parameters for which there exist representations. We give structure properties of such sets and a complete description for the set related to the graph $\tilde D_4$.