Approximately $C^*$-inner product preserving mappings
| dc.creator | Chmielinski, Jacek | |
| dc.creator | Moslehian, Mohammad Sal | |
| dc.date | 2006-01-12 | |
| dc.date.accessioned | 2026-07-07T09:35:55Z | |
| dc.date.available | 2026-07-07T09:35:55Z | |
| dc.description | A mapping $f: {\mathcal M} \to {\mathcal N}$ between Hilbert $C^*$-modules approximately preserves the inner product if \[\|< f(x), f(y)> - < x, y> \| \leq ϕ(x, y),\] for an appropriate control function $ϕ(x,y)$ and all $x, y \in {\mathcal M}$. In this paper, we extend some results concerning the stability of the orthogonality equation to the framework of Hilbert $C^*$-modules on more general restricted domains. In particular, we investigate some asymptotic behavior and the Hyers--Ulam--Rassias stability of the orthogonality equation. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601276 | |
| dc.identifier | http://arxiv.org/abs/math/0601276 | |
| dc.identifier | Bull. Korean Math. Soc. 45 (2008), no. 1, 157-167. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159994 | |
| dc.subject | Operator Algebras | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 39B52; 39B82; 46B99; 46L08 | |
| dc.title | Approximately $C^*$-inner product preserving mappings | |
| dc.type | text |