THE COMPLETENESS PROBLEM IN SPACES OF PETTIS INTEGRABLE FUNCTIONS

DOI10.1080/16073606.2001.9639232zbMath1028.46061OpenAlexW2077242160MaRDI QIDQ4531643

Kazimierz Musiał\

Publication date: 5 September 2002

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://www.ajol.info/viewissue.php?jid=125&id=673&ab=0

zbMATH Keywords

liftingcompletenessvector measuresPettis interal

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

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• The decomposition theorem for functions satisfying the law of large numbers
• The Glivenko-Cantelli problem
• A decomposition theorem for additive set-functions with applications to Pettis integrals and ergodic means
• A wide class of ultrabornological spaces of measurable functions

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