Real Analysis Exchange
- Real Anal. Exchange
- Volume 28, Number 1 (2002), 153-162.
A note on a Pettis-Kurzweil-Henstock type integral in Riesz spaces.
Recently a connection has been found between the improper Kurzweil-Henstock integral on the real line and the integral over a compact space. In this paper these results are extended to a Pettis-type integral for the case of functions with values in Riesz spaces with ``enough" order continuous functionals.
Real Anal. Exchange, Volume 28, Number 1 (2002), 153-162.
First available in Project Euclid: 12 June 2006
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 28B15: Set functions, measures and integrals with values in ordered spaces 28B05: Vector-valued set functions, measures and integrals [See also 46G10] 28B10: Group- or semigroup-valued set functions, measures and integrals 46G10: Vector-valued measures and integration [See also 28Bxx, 46B22]
Boccuto, A.; Riečan, B. A note on a Pettis-Kurzweil-Henstock type integral in Riesz spaces. Real Anal. Exchange 28 (2002), no. 1, 153--162. https://projecteuclid.org/euclid.rae/1150118728