This survey is devoted to the structure of “simple” systems S=\left (H; H _1, ..., H _n\right) of
subspaces H _i, i= 1,…, n, of a Hilbert space H, ie, n-tuples of subspaces such that, for each …

For a class of*-algebras, where*-algebra A Γ, τ is generated by projections associated with
vertices of graph Γ and depends on a parameter τ (0 Γ of values of τ such that the algebras A …

We investigate a class of algebras that are deformations of quotient algebras of group
algebras of Coxeter groups. For algebras from this class, a linear basis is found by using the …

We study the configurations of subspaces of a Hilbert space associated with a unicyclic
graph, which is a cycle of length m≥ 3 with chains of length s≥ 1 attached to each vertex of …

For a Hilbert space H, we study configurations of its subspaces related to Coxeter graphs G
_ 4, 4, which are arbitrary trees such that two edges have type 4 and the rest are of type 3 …

SYSTEMS OF ONE-DIMENSIONAL SUBSPACES OF A HILBERT SPACE Introduction Studies
of systems L = (V ; V 1,...,Vn) of subspaces {V k}, Page 1 Methods of Functional Analysis and …

We investigate*-representations of a class of algebras that are quotient algebras of the
Hecke algebras associated with Coxeter graphs. A description of all unitarily nonequivalent …

*-algebras given by trees generated by projections with Temperley-Lieb type relations are
considered in this work. Formulas of representations are built by algorithms for*-algebras …

ON ENVELOPING C∗-ALGEBRA OF ONE AFFINE TEMPERLEY-LIEB ALGEBRA 1. Introduction
In the present paper we construct an envelo** Page 1 Methods of Functional Analysis and …