Measure and integration--Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures

Measure and integration--Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures

Henstock-type integrals are considered, for multifunctions taking values in the family of weakly compact and convex subsets of a Banach lattice X. The main tool to handle the multivalued case is a Radstrom-type embedding theorem established by C. C. A. Labuschagne, A. L. Pinchuck, C. J. van Alten in...

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Veröffentlicht in:Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni 2015-12, Vol.26 (4), p.363
Hauptverfasser: Boccuto, Antonio, Candeloro, Domenico, Sambucini, Anna Rita
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Sprache:eng
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Banach spaces
Functions (Mathematics)
Mathematical research
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Candeloro, Domenico
Sambucini, Anna Rita
description Henstock-type integrals are considered, for multifunctions taking values in the family of weakly compact and convex subsets of a Banach lattice X. The main tool to handle the multivalued case is a Radstrom-type embedding theorem established by C. C. A. Labuschagne, A. L. Pinchuck, C. J. van Alten in 2007. In this way the norm and order integrals reduce to that of a single-valued function taking values in an M-space, and new proofs are deduced for some decomposition results recently stated in two recent papers by Di Piazza and Musial based on the existence of integrable selections. Key words: Banach lattices, Henstock integral, McShane integral, multivalued integral, point wise non atomic measures MATHEMATICS SUBJECT CLASSIFICATION: 28B05, 28B20, 46B42, 46G10, 18B15
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Mathematical research
title Measure and integration--Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures
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