Algebry operatorów i ich zastosowania w fizyce

We prove that if G_1 and G_2 are two infinite Vielenkin groups of bounded exponents such that G_1 is not a subgroup of G_2 then there are finite dimensional invariant convolution subalgebras of L^1(G_1) distant from any invariant convolution subalgebras of L^1(G_2). In fact, the norm of any algebraic isomorphims between them grows to infinity with the dimension.