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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Algebraic and triangular $ n$-hyponormal operators


Author: Eungil Ko
Journal: Proc. Amer. Math. Soc. 123 (1995), 3473-3481
MSC: Primary 47B20; Secondary 47A60
DOI: https://doi.org/10.1090/S0002-9939-1995-1291779-6
MathSciNet review: 1291779
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Abstract: In this paper we shall prove that if an operator $ 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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DOI: https://doi.org/10.1090/S0002-9939-1995-1291779-6
Article copyright: © Copyright 1995 American Mathematical Society