[Banach] Abstract of a paper by Jarno Talponen

This is an announcement for the paper "Convex-transitivity and function spaces" by Jarno Talponen.

Abstract: It is shown that the Bochner space L^{p}([0,1],X) is convex-transitive for any convex-transitive X and 1\leq p\leq \infty. 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.

Archive classification: math.FA

Mathematics Subject Classification: 46B04; 46E40

The source file(s), Rotations3.tex: 62608 bytes, is(are) stored in gzipped form as 0711.3768.gz with size 19kb. The corresponding postcript file has gzipped size 119kb.

Submitted from: talponen@cc.helsinki.fi

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http://front.math.ucdavis.edu/0711.3768

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http://arXiv.org/abs/0711.3768

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