14-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
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
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