Journal article
A renorming theorem for dual spaces
Journal of the Australian Mathematical Society, Vol.35(03), pp.334-337
1983
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*.
Details
- Title
- A renorming theorem for dual spaces
- Authors/Creators
- A.C. Yorke (Author/Creator) - Murdoch University
- Publication Details
- Journal of the Australian Mathematical Society, Vol.35(03), pp.334-337
- Publisher
- Cambridge University Press
- Identifiers
- 991005540660807891
- Copyright
- © 1983, Australian Mathematical Society.
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 9 Mathematics
- 9.50 Applied Statistics & Probability
- 9.50.1224 Banach Space
- Web Of Science research areas
- Mathematics
- Statistics & Probability
- ESI research areas
- Mathematics