Real Analysis Exchange
- Real Anal. Exchange
- Volume 32, Number 2 (2006), 409-428.
A Birkhoff Type Integral and the Bourgain Property in a Locally Convex Space
An integral, called the $Bk$-integral, for functions taking values in a locally convex space is defined. Properties of $Bk$-integrable functions are considered and the relations with other integrals are studied. Moreover the $Bk$-integrability of bounded functions is compared with the Bourgain property.
Real Anal. Exchange, Volume 32, Number 2 (2006), 409-428.
First available in Project Euclid: 3 January 2008
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Marraffa, V. A Birkhoff Type Integral and the Bourgain Property in a Locally Convex Space. Real Anal. Exchange 32 (2006), no. 2, 409--428. https://projecteuclid.org/euclid.rae/1199377481