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1. LINEAR FUNCTIONAL EQUATIONS IN A HILBERT MODULE

Author

Sei-Qwon Oh and Chun-Gil Park

Subjects
Mathematics::Functional Analysis, Mathematics::Operator Algebras, 47J25, General Mathematics, Hilbert module over $C^*$-algebra, 39B72, stability, $A$-linear, Banach module over Banach algebra
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.

Published
2003

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