Abstract
In the paper, we prove the following assertions: (1) If $T$ is an algebraically quasi-$*$-$A$ operator, then $T$ is polaroid. (2) If $T$ or $T^{*}$ is an algebraically quasi-$*$-$A$ operator, then Weyl's theorem holds for $f(T)$ for every $f \in H(\sigma(T))$. (3) If $T^{*}$ is an algebraically quasi-$*$-$A$ operator, then a-Weyl's theorem holds for $f(T)$ for every $f \in H(\sigma(T))$.
Citation
Fei Zuo. Hongliang Zuo. "Weyl's theorem for algebraically quasi-$*$-$A$ operators." Banach J. Math. Anal. 7 (1) 107 - 115, 2013. https://doi.org/10.15352/bjma/1358864552
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