The Weak Integral by Partitions of Unity

Redouane Sayyad

doi:10.14321/realanalexch.44.1.0181

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Home > Journals > Real Anal. Exchange > Volume 44 > Issue 1 > Article

2019 The Weak Integral by Partitions of Unity

Redouane Sayyad

Real Anal. Exchange 44(1): 181-198 (2019). DOI: 10.14321/realanalexch.44.1.0181

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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).

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Redouane Sayyad. "The Weak Integral by Partitions of Unity." Real Anal. Exchange 44 (1) 181 - 198, 2019. https://doi.org/10.14321/realanalexch.44.1.0181