Several Inequalities of Frechet Spaces

TL;DRAbstract

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.

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