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The strong closure of Boolean algebras of projections in Banach spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
This note improves two previous results of the second author. They turn out to be special cases of our main theorem which states: A Banach space X has the property that the strong closure of every abstractly σ-complete Boolean algebra of projections in X is Bade complete if and only if X does not contain a copy of the sequence space ℓ∞.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 77 , Issue 3 , December 2004 , pp. 365 - 370
- Copyright
- Copyright © Australian Mathematical Society 2004
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