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

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

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.

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Bibliographic Details
Main Author: Baghdad Science Journal
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2014-09-01
Series:مجلة بغداد للعلوم
Subjects:
Self-adjoint operator, positive operator, normal operator, quasinormal operator, binormal operator hyponormal operator and compact operator.
Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2017
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Description
Summary: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.
ISSN:2078-8665
2411-7986

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