This is an announcement for the paper "Simultaneous realization of function space structures in transitive Banach spaces" by Fernando Rambla and Jarno Talponen.

Abstract: Let L be a locally compact Hausdorff space and m the Lebesgue measure on the unit interval. We will prove the existence of a transitive Banach space X such that C_{0}(L,X) and the Bochner spaces L^{p}(m,X), 1\leq p\leq \infty, are all isometrically isomorphic to X. Also, more general results of this type are presented.

Archive classification: math.FA

Mathematics Subject Classification: 46B04; 46E40

The source file(s), BCO4.tex: 52768 bytes, is(are) stored in gzipped form as 0805.3616.gz with size 15kb. The corresponding postcript file has gzipped size 96kb.

Submitted from: talponen@cc.helsinki.fi

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http://front.math.ucdavis.edu/0805.3616

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http://arXiv.org/abs/0805.3616

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