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On biorthogonal systems and Maxur's intersection property

Published online by Cambridge University Press:  17 April 2009

Jan Rychtář
Jan Rychtář
Affiliation:
Department of Mathematical and Statistical Science, University of Alberta, Edmonton, Alberta T6G 2G1Canada, e-mail: jrychtar@math.ualberta.ca
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We give a characterisation of Banach spaces X containing a subspace with a shrinking Markushevich basis {xγ, fγ}γ∈Γ. This gives a sufficient condition for X to have a renorming with Mazur's intersection property.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 107 - 111
Copyright
Copyright © Australian Mathematical Society 2004

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