Title: APPROXIMATION OF GENERALIZED HOMOMORPHISMS IN QUASI–BANACH ALGEBRAS
Abstract:Let A be a quasi–Banach algebra with quasi-norm k .k A and B be a p-Banach algebra with p-norm k .k B. A linear mapping f : A → B is called a generalized homomorphism if there exists a homomorphism h ...Let A be a quasi–Banach algebra with quasi-norm k .k A and B be a p-Banach algebra with p-norm k .k B. A linear mapping f : A → B is called a generalized homomorphism if there exists a homomorphism h ′ : A → B such that f(ab) = f(a)h ′ (b) for all a, b ∈ A. In this paper, we investigate generalized homomorphisms on quasi– Banach algebras, associated with the following functional equation rf( a + b r ) = f(a) + f(b). Moreover, we prove the generalized Hyers–Ulam–Rassias stability and superstability of generalized homomorphisms in quasi–Banach algebras.Read More
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
Access and Citation
Cited By Count: 28
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