Original scientific paper

On the stability of linear mappings between essential Banach modules

Esmaeil Ansari-Piri ; Department of Mathematics, University of Guilan, Rasht, Iran
Ehsan Anjidani ; Department of Mathematics, University of Guilan, Rasht, Iran

Abstract

We establish the generalized Hyers-Ulam-Rassias stability of the linear mappings between essential Banach modules over Banach algebras with bounded approximate identity and over $C^*$-algebras.

Keywords

stability of functional equation; B-linear mapping; essential Banach module over a Banach algebra

Hrčak ID:

82989

URI

https://hrcak.srce.hr/82989

Publication date:

12.6.2012.

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