Frechet空间的几个重要不等式

SEVERAL IMPORTANT INEQUALITIES OF FRECHET SPACES

本文给出了Frechet空间中的几个重要不等式,它们是Hilbert空间中的著名极化恒等式在Frechet空间中的情形 推广了Banach空间的许多不等式,且在许多领域中有着各种各样的应用 利用这些不等式。

Several inequalities of Frechet spaces are given in this paper,which can be regarded as the Frechet spaces versions of the well-known polarization identity occurring in Hilbert spaces.Our results generalize many inequalities in Banach spaces.The inequalities developed here have various applications in a number of fields.By using these inequalities,many recent results can be easily generalized from Banach spaces to Frechet spaces.