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