玻尔不等式的一个简单证明
A Simple Proof of Bohr's Inequality
摘要:
Bohr关于单位圆盘上有界全纯函数的Taylor系数的经典不等式,对于否定回答如下猜想具有重要意义:若巴拿赫代数的非单位von Neumann不等式成立,则它必然是算子代数.在这里,我们提供了一个相当简短和容易的证明不等式。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。