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Remarks on symmetric smooth norms
Published online by Cambridge University Press: 17 April 2009
Abstract
A characterisation is given of separable Banach spaces with symmetric Schauder bases which admit equivalent symmetric norms that are Gâteaux differentiable or uniformly rotund in every direction. Some applications to questions on distortion of norms on l∞ are discussed.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 225 - 229
- Copyright
- Copyright © Australian Mathematical Society 1995
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