A Note on Homogeneous Functionsand Parallelogram Law

Details A Note on Homogeneous Functionsand Parallelogram Law A Note on Homogeneous Functionsand Parallelogram Law

2011-03-29

arxiv.org/abs/1103.5547v1

Mathematics

Functional Analysis

Scientific paper

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.

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