The de la Vallée Poussin theorem for vector valued measure spaces

DOI10.1216/rmjm/1022009291zbMath0987.28013OpenAlexW2066552278MaRDI QIDQ5928702

Maria José Rivera

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-2/CONT30-2/CONT30-2.html

zbMATH Keywords

boundednessBanach space valued measuresbounded variationuniform integrability

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10)

Related Items (3)

Ideal exhaustiveness, weak convergence and weak compactness in Banach spaces ⋮ A note on the de La Vallée Poussin criterion for uniform integrability ⋮ The de la Vallée-Poussin theorem and Orlicz spaces associated to a vector measure

Cites Work

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• Weak Cauchy Sequences in L 1 (E)
• Weak Compactness in L 1 (μ, X)
• DE LA VALLÉE POUSSIN'S THEOREM AND WEAKLY COMPACT SETS IN ORLICZ SPACES
• Weak Compactness in L 1 (μ, X)
• Orlicz spaces of finitely additive set functions

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