论文标题

连续参数Katznelson-Tzafriri定理分析函数代数

A continuous-parameter Katznelson-Tzafriri theorem for algebras of analytic functions

论文作者

Batty, Charles, Seifert, David

论文摘要

我们证明了Katznelson-Tzafiri类型的最新定理的连续参数版本,用于绑定的型运算符,该定理具有用于分析性BESOV函数的有界的演算。我们还表明,结果可以扩展到某些相对于某些较大代数具有功能性计算的运算符。

We prove a continuous-parameter version of the recent theorem of Katznelson-Tzafiri type for power-bounded operators which have a bounded calculus for analytic Besov functions. We also show that the result can be extended to some operators which have functional calculi with respect to some larger algebras.

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