Abstract
In this paper we shall prove that if an operator T ā L ( ā 1 n H ) T \in \mathcal {L}( \oplus _1^n{\mathbf {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.
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