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.
|Numero di pagine||13|
|Rivista||Journal of Mathematical Analysis and Applications|
|Stato di pubblicazione||Published - 2013|
All Science Journal Classification (ASJC) codes
- Applied Mathematics