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A renorming theorem for dual spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
If the second dual of a Banach space E is smooth at each point of a certain norm dense subset, then its first dual admits a long sequence of norm one projections, and these projections have ranges which are suitable for a transfinite induction argument. This leads to the construction of an equivalent locally uniformly rotund norm and a Markuschevich basis for E*.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 35 , Issue 3 , December 1983 , pp. 334 - 337
- Copyright
- Copyright © Australian Mathematical Society 1983