In this paper we consider a C*-subalgebra of the algebra of all bounded operators B(l2(X)) on the Hilbert space l2(X)) with one generating element T φ induced by a mapping φ of a set X into itself. We prove that such a ...
In the paper, some properties of a singly generated C*-subalgebra of the algebra of all bounded operators B(l2(X)) on the Hilbert space l2(X) with the generator Tφ induced by a mapping φ of an infinite set X into itself ...
Let X be an infinite set and let φ be a given mapping of it into itself. We consider the C*-algebra C φ (X) with a single generating element T φ on Hilbert space l 2(X). We show that C φ (X) is isomorphic to C *-algebra ...
We establish similarity between some tripotents and idempotents on a Hilbert space $H$ and obtain new results on differences and commutators of idempotents $P$ and $Q$. In the unital case, the difference $P - Q$ is associated ...