Abstract
In this paper, we explore approximate unitary equivalence of normaloid operators and classify several normaloid type operators including transaloid operators, polynomial-normaloid operators and von Neumann operators up to approximate unitary equivalence. As an application, we explore approximation of transaloid operators with closed numerical ranges. Among other things, it is proved that those transaloid operators with closed numerical ranges are norm dense in the class of transaloid operators.
Citation
Sen Zhu. "Approximate unitary equivalence of normaloid type operators." Banach J. Math. Anal. 9 (3) 173 - 193, 2015. https://doi.org/10.15352/bjma/09-3-13
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