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

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Balder E., Sambucini A.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

tom 52

nr 1

53-61

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.

Ograniczanie wyników

1 Bulletin of the Polish Academy of Sciences. Mathematics

1 Balder E.

1 Sambucini A.

1 2004

Wyniki wyszukiwania

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