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ON THE ADMISSIBILITY OF THE SPACE L0($\mathcal{A}$,X) OF VECTOR-VALUED MEASURABLE FUNCTIONS

Caponetti, Diana;Lewicki, Grzegorz;Trombetta, Alessandro;Trombetta, Giulio

  • Received : 2012.06.20
  • Published : 2013.11.30

Abstract

We prove the admissibility of the space $L_0(\mathcal{A},X)$ of vector-valued measurable functions determined by real-valued finitely additive set functions defined on algebras of sets.

Keywords

admissible space;finitely additive set function;measurable function

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