Convex-transitivity and function spaces
Abstract
If X is a convex-transitive Banach space and 1≤ p≤ ∞ then the closed linear span of the simple functions in the Bochner space Lp([0,1],X) is convex-transitive. If H is an infinite-dimensional Hilbert space and C0(L) is convex-transitive, then C0(L,H) is convex-transitive. Some new fairly concrete examples of convex-transitive spaces are provided.
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