Bocce criterion and convergence in Pettis norme in \(P_E^1(\mu)\)

zbMath1041.46021MaRDI QIDQ1406591

D. Massart

Publication date: 2001

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50830

zbMATH Keywords

multifunctionPettis integrabilityBocce criterion

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)