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march 2015 Operator-valued measurable functions
G. A. Bagheri-Bardi
Bull. Belg. Math. Soc. Simon Stevin 22(1): 159-163 (march 2015). DOI: 10.36045/bbms/1426856865

Abstract

Let $\Omega$ be a measurable space and $\mathcal{M}$ be a $\sigma$-finite von Neumann algebra which is also a second dual space. On the set of functions from $\Omega$ into $\mathcal{M}$, it is supposed to give a criterion to illustrate $\tau$-measurability where $\tau$ runs over some well-known locally convex topologies on $\mathcal{M}$ which is stronger than weak operator topology and weaker than the Arens-Mackey topology.

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G. A. Bagheri-Bardi. "Operator-valued measurable functions." Bull. Belg. Math. Soc. Simon Stevin 22 (1) 159 - 163, march 2015. https://doi.org/10.36045/bbms/1426856865

Information

Published: march 2015
First available in Project Euclid: 20 March 2015

zbMATH: 1328.46045
MathSciNet: MR3325728
Digital Object Identifier: 10.36045/bbms/1426856865

Subjects:
Primary: 46L10 , 47A56
Secondary: 46G10

Keywords: $\sigma$-strong measurability , vector-valued set functions , von Neumann algebras

Rights: Copyright © 2015 The Belgian Mathematical Society

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Vol.22 • No. 1 • march 2015
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