An extension of the essential supremum concept with applications to normal integrands and multifunctions

1 June 1983

journal article
research article
Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society

Vol. 27 (3) , 407-418
https://doi.org/10.1017/s0004972700025910

Abstract

Let (T, T, μ) be a σ-finite measure space and X a Suslin space. Let A be a class of normal integrands on T × X. We discuss the existence of an essential supremum of A, namely, a normal integrand l with where A₀ is a countable subclass of A, and, for each α ∈ A, In this way we obtain an extension of the classical essential supremum concept. The applications include a result on measurable selectors of nonmeasurable multifunctions.

Keywords

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