Real Analysis Exchange

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

V. Marraffa

Full-text: Open access

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

Permanent link to this document
https://projecteuclid.org/euclid.rae/1199377481

Mathematical Reviews number (MathSciNet)
MR2369853

Zentralblatt MATH identifier
1142.28011

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

Keywords
Pettis integral McShane integral Birkhoff integral locally convex space

Citation

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


Export citation