Algebraic and triangular n-hyponormal operators

In this paper we shall prove that if an operator T ∞ -S"(0" H) is a finite triangular operator matrix with hyponormal operators on main diagonal, then T is subscalar. As corollaries we get the following: (1) Every algebraic operator is subscalar. (2) Every operator on a finite-dimensional complex space is subscalar. (3) Every triangular n-hyponormal operator is subscalar.