English

Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules

Operator Algebras 2025-03-25 v1 Functional Analysis

Abstract

In this paper, we introduce the idea of \ast-homomorphism on a Hilbert CC^{*}-module. Furthermore, we prove the Hyers-Ulam stability of homomorphisms and \ast-homomorphisms on Hilbert CC^{*}-modules using the fixed point method.

Keywords

Cite

@article{arxiv.2503.18209,
  title  = {Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules},
  author = {Sajjad Khan and Choonkil Park},
  journal= {arXiv preprint arXiv:2503.18209},
  year   = {2025}
}

Comments

10 pages