Denting points in tensor products of Banach spaces
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- by Dirk Werner PDF
- Proc. Amer. Math. Soc. 101 (1987), 122-126 Request permission
Abstract:
Let dent $A$ denote the set of denting points of a subset $A$ of some Banach space. We prove \[ {\text {dent cl co(}}K \otimes L) = {\text {dent }}K \otimes {\text {dent }}L\] for closed, bounded, absolutely convex subsets $K$ and $L$ of Banach spaces $X$ and $Y$. Here the closure refers to the completion of $X \otimes Y$ w.r.t. some reasonable crossnorm.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 122-126
- MSC: Primary 46B20; Secondary 46M05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897081-1
- MathSciNet review: 897081