On the Cauchy--Rassias Inequality and Linear n-Inner Product Preserving Mappings
Functional Analysis
2021-07-23 v2
Abstract
We prove the Cauchy-Rassias stability of linear n-inner product preserving mappings in -inner product Banach spaces. We apply the Cauchy-Rassias inequality that plays an influencial role in the subject of functional equations. The inequality was introduced for the first time by Th.M.Rassias in his paper entitled: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math.Soc. 72(1978), 297-300.
Keywords
Cite
@article{arxiv.math/0501159,
title = {On the Cauchy--Rassias Inequality and Linear n-Inner Product Preserving Mappings},
author = {Choonkil Baak and Hahng-Yun Chu and Mohammad Sal Moslehian},
journal= {arXiv preprint arXiv:math/0501159},
year = {2021}
}
Comments
13 pages, Added references, and title and abstract changed