$2B_{p}$ and $4B_{p}$ are topologically conjugate

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Let $λB_{p}$, where $λ$ is a nonzero complex number, denote a constant-weighted backward shift operators on $l^{p}$ for $1\leq p<\infty$. In this article, we investigate, in topologically conjugacy, the complete classification for $λB_{p}$.
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