## Real Analysis Exchange

### The Weak Integral by Partitions of Unity

#### Abstract

We introduce the notion of the the weak integral by partitions of unity for functions defined on a $\sigma$-finite outer regular quasi Radon measure space $(S,\Sigma,\mathcal{T},\mu)$ into a Banach space $X$ and discuss its relation with the weak McShane integral which has been introduced by M. Saadoune and R. Sayyad (2014).

#### Article information

Source
Real Anal. Exchange, Volume 44, Number 1 (2019), 181-198.

Dates
First available in Project Euclid: 27 June 2019

https://projecteuclid.org/euclid.rae/1561622439

Digital Object Identifier
doi:10.14321/realanalexch.44.1.0181

Mathematical Reviews number (MathSciNet)
MR3951341

Zentralblatt MATH identifier
07088970

#### Citation

Sayyad, Redouane. The Weak Integral by Partitions of Unity. Real Anal. Exchange 44 (2019), no. 1, 181--198. doi:10.14321/realanalexch.44.1.0181. https://projecteuclid.org/euclid.rae/1561622439