Reflexivity of Weighted Shifts

中文关键词:  Banach space of Laurent series associated with a sequence $\beta$  reflexive operator  weak operator topology.

英文关键词:Banach space of Laurent series associated with a sequence $\beta$  reflexive operator  weak operator topology.

中文摘要:

      Let $\{\beta(n)\}_{n}$ be a sequence of positive numbers such that $\beta(0)=1$ and let $1 \leq p <\infty$. We will investigate the reflexivity of all integer powers of the multiplication operator on the Banach spaces of formal Laurent series, $L^{p}(\beta)$.

英文摘要:

      Let $\{\beta(n)\}_{n}$ be a sequence of positive numbers such that $\beta(0)=1$ and let $1 \leq p <\infty$. We will investigate the reflexivity of all integer powers of the multiplication operator on the Banach spaces of formal Laurent series, $L^{p}(\beta)$.