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Document Details
Document Type
:
Article In Journal
Document Title
:
Characterizing Linear Bounded Operators
Characterizing Linear Bounded Operators
Subject
:
Characterizing Linear Bounded Operators
Document Language
:
English
Abstract
:
Let S be a locally compact space and let X be a Banach space. Let us consider the function space C0(S,X) of all continuous functions f : S → X vanishing at infinity, endowed with the uniform topology. We shall be concerned with integral representations of linear bounded operators T : C0(S,X) → X. The main result is a complete characterization of those operators which enjoy an integral form with respect to a scalar measure μ on S. Furthermore we show that such operators also have an integral representation with respect to an operator valued measure G on S with values in L (X,X) , the space of bounded operators on X. Finally, relationships between the different measures are established and this allows to characterize the operators under consideration by their representing measures.
ISSN
:
00000
Journal Name
:
International Mathmatical Forum
Volume
:
4
Issue Number
:
5
Publishing Year
:
2009 AH
1430 AD
Number Of Pages
:
8
Article Type
:
Article
Added Date
:
Monday, June 29, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
Lakhdar
Lakhdar
Investigator
Doctorate
مها
Maha
Researcher
Doctorate
Saleh
Saleh
Researcher
Doctorate
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