International Journal of Nonlinear Analysis and Applications

Hyers-Ulam-Rassias stability of orthogonality equation on restricted domains

Document Type : Research Paper

Authors

1 Department of Electronic and Electrical Engineering, College of Science and Technology, Hongik University, 30016 Sejong, Republic of Korea

2 Mathematics Section, College of Science and Technology, Hongik University, 30016 Sejong, Republic of Korea

Abstract

In this paper, we prove some theorems about the Hyers-Ulam-Rassias stability of linear isometries. In particular, this paper will address the stability of the orthogonality equation, $\langle f(x), f(y) \rangle = \langle x, y \rangle$, on the restricted domains.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 3213-3222
  • Receive Date: 08 March 2021
  • Revise Date: 17 April 2021
  • Accept Date: 11 May 2021