GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS | Zendy

Jae-Hyeong Bae | Zendy; Won-Gil Park | Zendy

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GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS

Author(s) -

Jae-Hyeong Bae,

Won-Gil Park

Publication year - 2002

Publication title -

bulletin of the korean mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.295

H-Index - 27

eISSN - 2234-3016

pISSN - 1015-8634

DOI - 10.4134/bkms.2002.39.3.401

Subject(s) - mathematics , homomorphism , banach algebra , pure mathematics , banach space , unital , algebra over a field , functional equation , division algebra , algebra representation , mathematical analysis , differential equation

We prove the generalized Hyers-Ulam-Rassias stabil- ity of generalized Jensen's functional equations in Banach modules over a unital C ⁄ -algebra. It is applied to show the stability of al- gebra homomorphisms between Banach algebras associated with generalized Jensen's functional equations in Banach algebras.

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