On weak compactness and lower closure results for Pettis integrable (multi) functions

• Autorzy: Balder E. J. , Sambucini A. R.
• Języki publikacji: EN

Abstrakty

EN

In [4, 5, 7] an abstract, versatile approach was given to sequential weak compactness and lower closure results for scalarly integrable functions and multifunctions. Its main tool is an abstract version of the Komlos theorem, which applies to scalarly integrable functions. Here it is shown that this same approach also applies to Pettis integrable multifunctions, because the abstract Komlos theorem can easily be extended so as to apply to generalized Pettis integrable functions. Some results in the literature are thus unified.

Słowa kluczowe

EN

weak compactness; Pettis integrable functions; multifunctions; Komlos theorem

PL

zwartość słaba; funkcja całkowalna Pettisa; twierdzenie Komlosa

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 1
• Strony: 53--61
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Balder E. J.

• Mathematical Institute, University of Utrecht, Budapestlaan 6, P.O. Box 80.010, 3508 TA Utrecht, The Netherlands

autor

Sambucini A. R.

• Department of Mathematics and Informatics, University of Perugia, Via L. Vanvitelli 1, 06100 Perugia, Italy

Bibliografia

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