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Let $T$ be an operator acting on a Banach space $X$, let $\sigma \left(T\right)$ and ${\sigma }_{BW}\left(T\right)$ be respectively the spectrum and the B-Weyl spectrum of $T$. We say that $T$ satisfies the generalized Weyl’s theorem if ${\sigma }_{BW}\left(T\right)=\sigma \left(T\right)\setminus E\left(T\right)$, where $E\left(T\right)$ is the set of all isolated eigenvalues of $T$. The first goal of this paper is to show that if $T$ is an operator of topological uniform descent and $0$ is an accumulation point of the point spectrum of $T,$ then $T$ does not have the single valued extension property at $0$, extending an earlier result of J. K. Finch and a...