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arXiv · 0711.3768

Convex-transitivity and function spaces

Jarno Talponen
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Abstract

If X is a convex-transitive Banach space and 1\leq p\leq \infty then the closed linear span of the simple functions in the Bochner space L^{p}([0,1],X) is convex-transitive. If H is an infinite-dimensional Hilbert space and C_{0}(L) is convex-transitive, then C_{0}(L,H) is convex-transitive. Some new fairly concrete examples of convex-transitive spaces are provided.

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Jarno Talponen. 2008-01-28. Convex-transitivity and function spaces. https://arxiv.org/abs/0711.3768

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