Title of article :
Hyers-Ulam Stability of Some Linear Operators on a Hilbert Space
Author/Authors :
Haji Shaabani, M Shiraz University of Technology , Farzi Haromi, M Shiraz University of Technology
Abstract :
Suppose that T is a bounded operator from a Hilbert space
H into H. In this paper, for an injective cohyponormal or complex
symmetric operator T, we find a necessary and sufficient condition for
T to have the Hyers-Ulam stability. Moreover, when T is injective, we
find necessary and sufficient conditions for T∗T to have the Hyers-Ulam
stability.
Keywords :
Fredholm , complex symmetric , cohyponormal , Hyers-Ulam stability
Journal title :
Journal of Mathematical Extension(IJME)