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A Note on Homogeneous Functionsand Parallelogram Law

By Wenhan Wang and Wen Wang

Abstract

In this article, we investigate a new characterization of the parallelogram law in a normed linear space. We give equivalent conditions to the paralleogram law, in terms of the homogeneous property of a continuous positive definite function on the normed space

Topics: Mathematics - Functional Analysis
Year: 2011
OAI identifier: oai:arXiv.org:1103.5547
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