Exponential Function of a bounded Linear Operator on a Hilbert Space.
Abstract
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.
Keywords
Self-adjoint operator, positive operator, normal operator, quasinormal operator, binormal operator hyponormal operator and compact operator.Metrics