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Research Article | Open Access

On stability of non-surjective (ε,s)-isometries of uniformly convex Banach spaces

Yuqi Sun( ), Xiaoyu Wang, Jing Dong, Jiahong Lv
School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
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Abstract

In this paper, we established two results concerning non-surjective (ε,s)-isometries of uniformly convex Banach spaces, which extended some known results of Dolinar and Jung.

Keywords

stability(ε, s)-isometrylinear isometryuniformly convex space
CLC number: 46B04, 46B20

References

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AIMS Mathematics
Volume 9 Issue 8,
August 2024
Pages 22500-22512
DOI: 10.3934/math.20241094

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Cite this article:
Sun Y, Wang X, Dong J, et al. On stability of non-surjective (ε,s)-isometries of uniformly convex Banach spaces. AIMS Mathematics, 2024, 9(8): 22500-22512. https://doi.org/10.3934/math.20241094

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Received: 23 May 2024
Revised: 05 July 2024
Accepted: 11 July 2024
Published: 15 August 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)