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On weak convergence implying strong convergence in L1-spaces

Published online by Cambridge University Press:  17 April 2009

Erik J. Balder
Affiliation:
Mathematical Institute, University of Utrecht, PO Box 80.010, 3508 TA Utrecht, The Netherlands.
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986

References

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