Exponential Function of a bounded Linear Operator on a Hilbert Space.

Authors

Radhi I. Mohammed
Fatin A. Ahmed

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 operatoreT according to the operator T.

Keywords

Self-adjoint operator, positive operator, normal operator, quasinormal operator, binormal operator hyponormal operator and compact operator.

Article Type

Article

How to Cite this Article

Mohammed, Radhi I. and Ahmed, Fatin A. (2014) "Exponential Function of a bounded Linear Operator on a Hilbert Space.," Baghdad Science Journal: Vol. 11: Iss. 3, Article 24.
DOI: https://doi.org/10.21123/bsj.2014.11.3.1267-1273