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arXiv · 2503.18209

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

Sajjad Khan·Choonkil Park
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Abstract

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

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Sajjad Khan, Choonkil Park. 2025-03-23. Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules. https://arxiv.org/abs/2503.18209

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