IJPAM: Volume 20, No. 3 (2005)

A NOTE ON INTEGRATION
WITH RESPECT TO VECTOR MEASURES

Ömer Gök
Department of Mathematics
Faculty of Arts and Sciences
Yildiz Technical University
Davutpasa Campus
Esenler, Istanbul, 34210, TURKEY
e-mail: gok@yildiz.edu.tr


Abstract.Let $X$ be a separable barrelled locally convex $C(K)$-module and $X'$ be the continuous dual of $X$. In this paper, we concern with integration with respect to the dual space $X'$-valued vector measure.

Received: March 21, 2005

AMS Subject Classification: 46G10, 46A08, 46H25

Key Words and Phrases: spectral measures, vector measures, barrelled spaces, locally convex $C(K)$-modules

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 3