Main Page
About Science
Faculty Deanship
Letter of Dean
Overview of Deanship
Vice Deans
Vice Dean
Letter of Vice-dean
Overview of Vice-deanship
Vice Dean for Graduate Studies
Letter of Vice Dean for Graduate Studies
Overview of Vice Dean of Postgraduate Studies
Research and Innovation Unit
Vice Dean for Girls Campus
Faculty Management
Letter of Managing Director-Boys Campus
Letter of Managing Director-Girls Campus
Overview of Management
Educational Affairs
Males Campus
Staff
Females Campus
Contact Us
Research
عربي
English
About
Admission
Academic
Research and Innovations
University Life
E-Services
Search
Faculty of Sciences
Document Details
Document Type
:
Article In Journal
Document Title
:
On the dual space C*0 (S,X)
On the dual space C*0 (S,X)
Subject
:
Mathematics
Document Language
:
English
Abstract
:
Let S be a locally compact Hausdorff space and let us consider the space C0(S,X) of continuous functions vanishing at infinity, from S into the Banach space X. A theorem of I. Singer, settled for S compact, states that the topological dual C*0 (S,X) is isometrically isomorphic to the Banach space rσbv(S,X*) of all regular vector measures of bounded variation on S with values in the strong dual X*. Using the Riesz-Kakutani theorem and some routine topological arguments, we propose a constructive detailed proof which is, as far as we know, different from that supplied elsewhere.
ISSN
:
0862-9544
Journal Name
:
Acta Mathematica Universitatis Comenianae
Volume
:
78
Issue Number
:
1
Publishing Year
:
2009 AH
2009 AD
Number Of Pages
:
7
Article Type
:
Article
Added Date
:
Tuesday, October 13, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
لخضر المزياني
Meziani, L.
Researcher
Doctorate
mezianilakhdar@hotmail.com
Files
File Name
Type
Description
23425.pdf
pdf
Abstract
Back To Researches Page