A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting-Reference-Cited by-同舟云学术

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

Published:2015-12-01 Issue:6 Volume:65 Page:1319-1336
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Boccuto A.¹,Skvortsov V. A.²,Tulone F.³

Affiliation:

1. Department of Mathematics and Computer Sciences University of Perugia via Vanvitelli, 1 I–06123 Perugia ITALY

2. Department of Mathematics Moscow State University RU–119992 Moscow RUSSIA; Institute of Mathematics Casimirus the Great University pl. Weyssenhoffa 11 PL–85079 Bydgoszcz POLAND

3. Department of Mathematics and Computer Sciences University of Palermo via Archirafi 34 I–90123 Palermo ITALY

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2015-0092/pdf

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