Abstract
Some examples ofC(K) spaces which admit (respectively, do not admit) an equivalent strictly convex norm are given. These examples consist of ideals inl ∞c (I) (the bounded, real-valued functions on the unit intervalI having a countable support) which containc 0(I).
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This is a part of the first author's Ph.D. thesis prepared at the University of California, Berkeley, under the direction of William G. Bade.
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Dashiell, F.K., Lindenstrauss, J. Some examples concerning strictly convex norms onC(K) spaces. Israel J. Math. 16, 329–342 (1973). https://doi.org/10.1007/BF02756712
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DOI: https://doi.org/10.1007/BF02756712