Algebraic and triangular n-hyponormal operators

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Abstract

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.

Original languageEnglish
Pages (from-to)3473-3481
Number of pages9
JournalProceedings of the American Mathematical Society
Volume123
Issue number11
DOIs
StatePublished - Nov 1995

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