Convex-transitivity and function spaces
Functional Analysis
2008-01-28 v2
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.
Cite
@article{arxiv.0711.3768,
title = {Convex-transitivity and function spaces},
author = {Jarno Talponen},
journal= {arXiv preprint arXiv:0711.3768},
year = {2008}
}
Comments
Corrected version