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Locally uniformly rotund norms and Markuschevich bases
Published online by Cambridge University Press: 09 April 2009
Abstract
If a Banach space E admits a Markuschevich basis, then E can be renormed to be locally uniformly rotund. When the coefficient space of the basis is 1-norming, and this norm is very smooth, E is weakly compactly generated.
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- Copyright © Australian Mathematical Society 1979