On spaces of Bochner and Pettis integrable functions and their set-valued counterparts
- Autori: Labuschagne, C.; Marraffa, V.
- Anno di pubblicazione: 2011
- Tipologia: Capitolo o Saggio (Capitolo o saggio)
- OA Link: http://hdl.handle.net/10447/74870
Abstract
The aim of this paper is to give a brief summary of the Pettis and Bochner integrals, how they are related, how they are generalized to the set-valued setting and the canonical Banach spaces of bounded maps between Banach spaces that they generate. The main tool that we use to relate the Banach space-valued case to the set-valued case, is the R ̊adstr ̈om embedding theorem.