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Transitivity in spaces of vector-valued functions
Published online by Cambridge University Press: 05 August 2010
Abstract
We exhibit a real Banach space M such that C(K,M) is almost transitive if K is the Cantor set, the growth of the integers in its Stone–Čech compactification or the maximal ideal space of L∞. For finite K, the space C(K,M) = M|K| is even transitive.
MSC classification
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 53 , Issue 3 , October 2010 , pp. 601 - 608
- Copyright
- Copyright © Edinburgh Mathematical Society 2010
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