Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

Chun Wang, Tian-Zhou Xu
2014 Journal of Function Spaces  
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers-Ulam stability exists.
doi:10.1155/2014/398673 fatcat:jmuvohrobrfzrfmhosbfc35lyq