Abstract
The aim of this paper is to describe Henstock-Kurzweil-Pettis (HKP for short) integrable compact valued multifunctions. Such characterizations are known in case of functions. It is also known that each HKP-integrable compact valued multifunction can be represented as a sum of a Pettis integrable multifunction and of an HKP-integrable function. Invoking to that decomposition, we present a pure topological characterization of integrability. Having applied the above results, we obtain two convergence theorems, that generalize results known for HKP-integrable functions. We emphasize also the special role played in the theory by weakly sequentially complete Banach spaces and by spaces possessing the Schur property.
Lingua originale | English |
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pagine (da-a) | 452-464 |
Numero di pagine | 13 |
Rivista | Journal of Mathematical Analysis and Applications |
Volume | 408 |
Stato di pubblicazione | Published - 2013 |
All Science Journal Classification (ASJC) codes
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