Convex-transitivity and function spaces

Details Convex-transitivity and function spaces Convex-transitivity and function spaces

2007-11-23

arxiv.org/abs/0711.3768v2

Mathematics

Functional Analysis

Corrected version

Scientific paper

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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