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Szlenk and w*-dentability indices of the Banach spaces C([0, α])

Brooker, Philip

Description

Let α be an infinite ordinal and γ the unique ordinal satisfying ωωγ≤α<ωωγ+1. We show that the Banach space C([0, α]) of all continuous scalar-valued functions on the compact ordinal interval [0, α] has Szlenk index equal to ωγ+1 and w*-den

CollectionsANU Research Publications
Date published: 2013
Type: Journal article
URI: http://hdl.handle.net/1885/74191
Source: Journal of Mathematical Analysis and Applications
DOI: 10.1016/j.jmaa.2012.10.028

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