A Fixed Point Approach to the Stability of Φ-morphisms on Hilbert C∗-modules

@inproceedings{TABADKAN2010AFP,
  title={A Fixed Point Approach to the Stability of Φ-morphisms on Hilbert C∗-modules},
  author={ABBASPOUR TABADKAN and M. RAMEZANPOUR},
  year={2010}
}
  • ABBASPOUR TABADKAN, M. RAMEZANPOUR
  • Published 2010
Let E, F be two Hilbert C∗-modules over C∗-algebras A and B respectively. In this paper, by the alternative fixed point theorem, we give the Hyers-Ulam-Rassias stability of the equation 〈U(x), U(y)〉 = φ(〈x, y〉) (x, y ∈ E), where U : E → F is a mapping and φ : A → B is an additive map.