Remarks on weak compactness of operators defined on certain injective tensor products
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Addendum: Proc. Amer. Math. Soc. 118 (1993), 335.
Abstract:
We show that if $X$ is a ${\mathcal {L}_\infty }$-space with the Dieudonné property and $Y$ is a Banach space not containing ${l_1}$, then any operator $T:X{ \otimes _\varepsilon }Y \to Z$, where $Z$ is a weakly sequentially complete Banach space, is weakly compact. Some other results of the same kind are obtained.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 473-476
- MSC: Primary 46M05; Secondary 46B28, 47B07
- DOI: https://doi.org/10.1090/S0002-9939-1992-1120506-5
- MathSciNet review: 1120506