论文标题

玻尔不平等的简单证明

A Simple Proof of Bohr's Inequality

论文作者

Paulsen, Vern I., Singh, Dinesh

论文摘要

玻尔对单位磁盘上有界全体形态函数的泰勒co骨的经典不平等事实证明,在负面的猜想中应对不平等的猜想是至关重要的:如果对Banach代数持有的非​​成功的von Neumann不平等,那么一定是操作员Algebra。在这里,我们提供了简短,简单的不平等证明。

The classical inequality of Bohr concerning Taylor coeficients of bounded holomorphic functions on the unit disk, has proved to be of significance in answering in the negative the conjecture that if the non-unital von Neumann inequality held for a Banach algebra then it was necessarily an operator algebra. Here we provide a rather short and easy proof of the inequality.

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