Abstract
We prove the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra in the spirit of G\u avruta, and prove the generalized Hyers-Ulam-Rassias stability of linear functional equations in a Hilbert module over a unital $C^*$-algebra in the spirit of G\u avruta.
Citation
Sei-Qwon Oh. Chun-Gil Park. "LINEAR FUNCTIONAL EQUATIONS IN A HILBERT MODULE." Taiwanese J. Math. 7 (3) 441 - 448, 2003. https://doi.org/10.11650/twjm/1500558396
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