Abstract
For the bounded linear operators acting on a complex separable Hilbert space ${\cal H}$, we introduce a binary relation $\sim_{sas}$ called strongly approximative similarity. It lies between the similarity and the essential similarity. For a class of biquasitriangular operators and a class of quasitriangular operators, this relation is characterized respectively. As a result, the relation $\sim_{sas}$ is an equivalent relation in this two cases.
Citation
You Qing Ji. Jue Xian Li. "STRONGLY APPROXIMATIVE SIMILARITY OF OPERATORS." Taiwanese J. Math. 5 (4) 739 - 753, 2001. https://doi.org/10.11650/twjm/1500574992
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