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A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting

  • A. Boccuto EMAIL logo , V. A. Skvortsov and F. Tulone
Published/Copyright: February 9, 2016
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Abstract

A Kurzweil-Henstock type integral with respect to an abstract derivation basis in a topological measure space, for Riesz space-valued functions, is studied. A Hake-type theorem is proved for this integral, by using technical properties of Riesz spaces.

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Received: 2012-7-8
Accepted: 2013-2-26
Published Online: 2016-2-9
Published in Print: 2015-12-1

Mathematical Institute Slovak Academy of Sciences

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