Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2013; 50(6): 1915-1922

Printed November 1, 2013

https://doi.org/10.4134/BKMS.2013.50.6.1915

Copyright © The Korean Mathematical Society.

On the admissibility of the space $L_0(\mathcal A,X)$ of vector-valued measurable functions

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

Universit\`a di Palermo, Jagiellonian University, Universit\`a della Calabria, Universit\`a della Calabria

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

MSC numbers: 46E30, 46E40

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