On weak convergence implying strong convergence in L1-spaces
- 1 June 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 33 (3) , 363-368
- https://doi.org/10.1017/s0004972700003932
Abstract
Recently, Visintin gave conditions under which weak convergence in L1 (T;RN) implies strong convergence. Here we analyze such results in terms of associated young measures and present an extension to L1 (T;Ξ), where Ξ is a separable reflexive Banach space.Keywords
This publication has 6 references indexed in Scilit:
- An extension of Prohorov's theorem for transition probabilities with applications to infinite-dimensional lower closure problemsRendiconti del Circolo Matematico di Palermo Series 2, 1985
- Measure-valued solutions to conservation lawsArchive for Rational Mechanics and Analysis, 1985
- A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control TheorySIAM Journal on Control and Optimization, 1984
- Strong convergence results related to strict convexityCommunications in Partial Differential Equations, 1984
- Weak compactness in spaces of bochner integrable functions and applicationsAdvances in Mathematics, 1977
- Compact Convex Sets and Boundary IntegralsPublished by Springer Nature ,1971