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A note on bump functions that locally depend on finitely many coordinates
Published online by Cambridge University Press: 17 April 2009
Abstract
We show that if a continuous bump function on a Banach space X locally depends on finitely many elements of a set F in X*, then the norm closed linear span of F equals to X*. Some corollaries for Markuševič bases and Asplund spaces are derived.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 447 - 451
- Copyright
- Copyright © Australian Mathematical Society 1997
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