Convex-transitivity and function spaces |
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Authors: | Jarno Talponen |
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Institution: | aDepartment of Mathematics and Statistics, Box 68 (Gustaf Hällströminkatu 2b), FI-00014 University of Helsinki, Finland |
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Abstract: | It is shown that if X is a convex-transitive Banach space and 1 p<∞, then Lp(0,1],X) and are convex-transitive. Here is the closed linear span of the simple functions in the Bochner space L∞(0,1],X). If H is an infinite-dimensional Hilbert space and C0(L) is convex-transitive, then C0(L,H) is convex-transitive. Some new fairly concrete examples of convex-transitive spaces are provided. |
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Keywords: | Vector-valued function spaces Transitive Almost transitive Convex-transitive Rotation problem |
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