On uniformly bounded sequences in Orlicz spaces

DOI10.1017/S0004972700018372zbMath0717.46029MaRDI QIDQ5748431

Erik J. Balder

Publication date: 1990

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Orlicz spaceinf-compact integrand

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) Spaces of vector- and operator-valued functions (46E40) Measures and integration on abstract linear spaces (46G12)

Related Items (1)

From weak to strong convergence in \(L_ 1\)-spaces via \(K\)-convergence

Cites Work

• Infinite-dimensional extension of a theorem of Komlós
• Fatou's lemma in infinite dimensions
• Continuity and compactness of measures
• Subsequence principles for vector-valued random variables
• A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory
• Convergence and Limit Theorems for Sequences of Random Variables

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