On Weak Compactness and Lower Closure Results for Pettis Integrable (Multi)Functions

• Autorzy: Erik J. Balder , Anna Rita Sambucini
• 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 Komlós theorem, which applies to scalarly integrable functions. Here it is shown that this same approach also applies to Pettis integrable multifunctions, because the abstract Komlós theorem can easily be extended so as to apply to generalized Pettis integrable functions. Some results in the literature are thus unified.

Kategorie tematyczne

• 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
• 28B05: Vector-valued set functions, measures and integrals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 1
• Strony: 53-61

Daty

wydano

2004

Twórcy

autor

Erik J. Balder

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

autor

Anna Rita Sambucini

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

Identyfikatory

DOI

10.4064/ba52-1-6