On weak convergence implying strong convergence in L1-spaces

DOI10.1017/S0004972700003932zbMath0579.46018MaRDI QIDQ3701959

Erik J. Balder

Publication date: 1986

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

zbMATH Keywords

strong convergenceweak convergenceassociated Young measures

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) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (7)

From weak to strong convergence in \(L_ 1\)-spaces via \(K\)-convergence ⋮ A unified approach to several results involving integrals of multifunctions ⋮ Young measures, weak and strong convergence and the Visintin-Balder theorem ⋮ Two-scale convergence of some integral functionals ⋮ On weak convergence implying strong convergence under extremal conditions ⋮ On equivalence of strong and weak convergence in \(L_ 1\)-spaces under extreme point conditions ⋮ Truncation methods applied to problems of weak or strong convergence in \(L^ 1\)

Cites Work

• Unnamed Item
• An extension of Prohorov's theorem for transition probabilities with applications to infinite-dimensional lower closure problems
• Weak compactness in spaces of Bochner integrable functions and applications
• Measure-valued solutions to conservation laws
• Strong convergence results related to strict convexity
• A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory

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