## Real Analysis Exchange

### A Birkhoff Type Integral and the Bourgain Property in a Locally Convex Space

V. Marraffa

#### Abstract

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.

#### Article information

Source
Real Anal. Exchange, Volume 32, Number 2 (2006), 409-428.

Dates
First available in Project Euclid: 3 January 2008