Algebraic and triangular $n$-hyponormal operators
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- by Eungil Ko PDF
- Proc. Amer. Math. Soc. 123 (1995), 3473-3481 Request permission
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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- 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