Real Analysis Exchange

An Alternate Approach to the McShane Integral

B. Bongiorno, L. Di Piazza, and K. Musiał

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The classical McShane integral has been generalized by D.H. Fremlin [2] to the case of an arbitrary $\sigma$-finite outer regular quasi-Radon measure space. We present an alternate approach to the Fremlin integral for a non-atomic, finite quasi-Radon space.

Article information

Real Anal. Exchange, Volume 25, Number 2 (1999), 829-848.

First available in Project Euclid: 3 January 2009

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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

vector valued function McShane integral


Bongiorno, B.; Di Piazza, L.; Musiał, K. An Alternate Approach to the McShane Integral. Real Anal. Exchange 25 (1999), no. 2, 829--848.

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