On spaces of Bochner and Pettis integrable functions and their set-valued counterparts

Valeria Marraffa, Coenraad C. A. Labuschagne

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2 Citazioni (Scopus)

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.
Lingua originaleEnglish
Titolo della pubblicazione ospiteNonlinear Mathematics for Uncertainty and its Applications
Pagine51-59
Numero di pagine9
Stato di pubblicazionePublished - 2011

Serie di pubblicazioni

NomeADVANCES IN INTELLIGENT AND SOFT COMPUTING

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.1700.1700???

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