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Bi-additive \(s\)-functional inequalities and quasi-\(*\)-multipliers on Banach algebras. (English) Zbl 1415.39021

The author uses some standard arguments to study the Hyers-Ulam stability of quasi-\(*\)-multipliers on Banach \(*\)-algebras associated with some bi-additive \(s\)-functional inequalities.

MSC:

39B52 Functional equations for functions with more general domains and/or ranges
46L05 General theory of \(C^*\)-algebras
39B62 Functional inequalities, including subadditivity, convexity, etc.
43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
39B82 Stability, separation, extension, and related topics for functional equations
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