Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913754009042944 |
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| author | Khan, Sajjad Park, Choonkil |
| author_facet | Khan, Sajjad Park, Choonkil |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18209 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules Khan, Sajjad Park, Choonkil Operator Algebras Functional Analysis 39B52, 39B82, 46L08, 47B48, 47H10 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. |
| title | Hyers-Ulam stability of homomorphisms and *-homomorphisms on Hilbert C*-modules |
| topic | Operator Algebras Functional Analysis 39B52, 39B82, 46L08, 47B48, 47H10 |
| url | https://arxiv.org/abs/2503.18209 |