Geodesic
ON A CONJECTURE OF WOOD
Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 1-5

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DOI

We show that there exists a locally compact separable metrizable space $L$ such that $C_{0}(L)$, the Banach space of all continuous complex-valued functions vanishing at infinity with the supremum norm, is almost transitive. Due to a result of Greim and Rajagopalan [3], this implies the existence of a locally compact Hausdorff space $\tilde L$ such that $C_{0}(\tilde L)$ is transitive, disproving a conjecture of Wood [9]. We totally owe our construction to a topological characterization due to Sánches [8].
DOI : 10.1017/S0017089504002186
Mots-clés : 54C35, 46B04, 54G99 
KAWAMURA, KAZUHIRO. ON A CONJECTURE OF WOOD. Glasgow mathematical journal, Tome 47 (2005) no. 1, pp. 1-5. doi: 10.1017/S0017089504002186
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