On Approximate Algebra Homomorphisms

Chun-Gil Park ()
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Chun-Gil Park: Chungnam National University, Department of Mathematics

Chapter Chapter 7 in Functional Equations, Inequalities and Applications, 2003, pp 91-104 from Springer

Abstract: Abstract We are going to prove the generalized Hyers—Ulam—Rassias stability of modified Popoviciu functional equations in Banach modules over a unital C*-algebra. It is applied to show the stability of algebra homomorphisms between Banach algebras associated with modified Popoviciu functional equations in Banach al­gebras.

Keywords: Banach module over C*-algebra; Stability; unitary group; modified Popoviciu functional equation; approximate algebra homomorphism (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0225-6_7

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DOI: 10.1007/978-94-017-0225-6_7

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