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On the canonical projection of the third dual of a Banach space onto the first dual
Published online by Cambridge University Press: 17 April 2009
Abstract
For a Banach space B let P denote the canonical projection of the third dual space of B onto the embedding of the first dual into the third. It is shown that if B = l1 then ‖I-P‖ = 2.
This fact shows to be mistaken a current belief in a statement which is equivalent to the statement that for all Banach spaces B the operator I – P is of norm one.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 15 , Issue 3 , December 1976 , pp. 351 - 354
- Copyright
- Copyright © Australian Mathematical Society 1976
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