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

Erik J. Balder, and Anna Rita Sambucini. "On Weak Compactness and Lower Closure Results for Pettis Integrable (Multi)Functions." Bulletin of the Polish Academy of Sciences. Mathematics 52.1 (2004): 53-61. <http://eudml.org/doc/280214>.

@article{ErikJ2004,
abstract = {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.},
author = {Erik J. Balder, Anna Rita Sambucini},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Pettis integrable functions; Komlos theorem},
language = {eng},
number = {1},
pages = {53-61},
title = {On Weak Compactness and Lower Closure Results for Pettis Integrable (Multi)Functions},
url = {http://eudml.org/doc/280214},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Erik J. Balder
AU - Anna Rita Sambucini
TI - On Weak Compactness and Lower Closure Results for Pettis Integrable (Multi)Functions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 1
SP - 53
EP - 61
AB - 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.
LA - eng
KW - Pettis integrable functions; Komlos theorem
UR - http://eudml.org/doc/280214
ER -