A Note on Homogeneous Functionsand Parallelogram Law
Functional Analysis
2011-03-30 v1
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.
Keywords
Cite
@article{arxiv.1103.5547,
title = {A Note on Homogeneous Functionsand Parallelogram Law},
author = {Wenhan Wang and Wen Wang},
journal= {arXiv preprint arXiv:1103.5547},
year = {2011}
}