The Gould integral in Banach lattices

The Gould integral in Banach lattices In this paper, we study a Gould type integral in a new frame of Banach lattices. We consider the Gould integral of real functions relative to a non-additive set function taking values in a Banach lattice. Some continuity properties of this integral and relationships between integrability and total measurability are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

The Gould integral in Banach lattices

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Publisher
Springer Basel
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0283-7
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study a Gould type integral in a new frame of Banach lattices. We consider the Gould integral of real functions relative to a non-additive set function taking values in a Banach lattice. Some continuity properties of this integral and relationships between integrability and total measurability are presented.

Journal

PositivitySpringer Journals

Published: Mar 18, 2014

References

  • Some inequalities in classical spaces with mixed norms
    Boccuto, A; Bukhvalov, AV; Sambucini, AR

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