Abstract
We present a convergence theorem for the Henstock-Kurzweil integral of functions taking values in a locally convex topological vector space, which is sequentially complete with respect to its weak topology.
Citation
Sokol B. Memetaj. "A Convergence Theorem for the Henstock-Kurzweil Integral." Real Anal. Exchange 35 (2) 509 - 516, 2009/2010.
Information
Published: 2009/2010
First available in Project Euclid: 22 September 2010
zbMATH: 1222.28022
MathSciNet: MR2683616
Subjects:
Primary:
28B05
Secondary:
46G10
Keywords:
HK-integrable
,
HK-integral
,
locally convex topological vector spaces
,
weak topology
Rights: Copyright © 2009 Michigan State University Press
