16 Feb
2015
16 Feb
'15
9:07 a.m.
This is an announcement for the paper "Characterizing of Inner Product Spaces by the Mapping $n_{x,y}$" by Hossein Dehghan.
Abstract: For the vectors $x$ and $y$ in a normed linear spaces $X$, the mapping $n_{x,y}: \mathbb{R}\to \mathbb{R}$ is defined by $n_{x,y}(t)=|x+ty|$. In this note, comparing the mappings $n_{x,y}$ and $n_{y,x}$ we obtain a simple and useful characterization of inner product spaces.
Archive classification: math.FA math.CA
Submitted from: hossein.dehgan@gmail.com
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1502.02250
or