A characterization of inner product spaces related to the p-angular distance

TL;DR

This paper introduces a new way to characterize inner product spaces using p-angular distance and extends previous results by incorporating this concept, providing deeper insights into the structure of these spaces.

Contribution

It offers a novel characterization of inner product spaces based on p-angular distance and generalizes existing results by notable researchers.

Findings

New characterization of inner product spaces

Generalization of previous results using p-angular distance

Enhanced understanding of space structure

Abstract

In this paper we present a new characterization of inner product spaces related to the p-angular distance. We also generalize some results due to Dunkl, Williams, Kirk, Smiley and Al-Rashed by using the notion of p-angular distance.