Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras.
Superstability of multipliers and ring derivations on Banach algebras.
Stability of multipliers on Banach algebras.
Ger-type and Hyers--Ulam stabilities for the first-order linear differential operators of entire functions.
Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras
Let A and B be unital, semisimple commutative Banach algebras with the maximal ideal spaces M A and M B, respectively, and let r(a) be the spectral radius of a. We show that if T: A → B is a surjective mapping, not assumed to be linear, satisfying r(T(a) + T(b)) = r(a + b) for all a; b ∈ A, then there exist a homeomorphism φ: M B → M A and a closed and open subset K of M B such that for all a ∈ A, where e is unit element of A. If, in addition, and on M B, then T is an algebra isomorphism.
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