Exponential Function of a bounded Linear Operator on a Hilbert Space.
Self-adjoint operator
positive operator
normal operator
quasinormal operator
binormal operator hyponormal operator and compact operator.
In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the operator T.
