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Weak$ \sp *$ convergence in higher duals of Orlicz spaces


Author: Denny H. Leung
Journal: Proc. Amer. Math. Soc. 103 (1988), 797-800
MSC: Primary 46E30; Secondary 46B20
DOI: https://doi.org/10.1090/S0002-9939-1988-0947660-9
MathSciNet review: 947660
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Abstract: It is shown that the spaces $ {\left( {\Sigma \oplus E} \right)_{{l^\infty }(\Gamma )}}$ are Grothendieck spaces for a class of Banach lattices $ E$ which includes the Orlicz spaces with weakly sequentially complete duals.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0947660-9
Article copyright: © Copyright 1988 American Mathematical Society