Real Analysis Exchange

A Convergence Theorem for the Henstock-Kurzweil Integral

Sokol B. Memetaj

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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.

Article information

Source
Real Anal. Exchange, Volume 35, Number 2 (2009), 509-516.

Dates
First available in Project Euclid: 22 September 2010

Permanent link to this document
https://projecteuclid.org/euclid.rae/1285160549

Mathematical Reviews number (MathSciNet)
MR2683616

Zentralblatt MATH identifier
1222.28022

Subjects
Primary: 28B05: Vector-valued set functions, measures and integrals [See also 46G10]
Secondary: 46G10: Vector-valued measures and integration [See also 28Bxx, 46B22]

Keywords
HK-integral locally convex topological vector spaces weak topology HK-integrable

Citation

Memetaj, Sokol B. A Convergence Theorem for the Henstock-Kurzweil Integral. Real Anal. Exchange 35 (2009), no. 2, 509--516. https://projecteuclid.org/euclid.rae/1285160549


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References

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