The strong closure of Boolean algebras of projections in Banach spaces
Copyright policy )The strong closure of Boolean algebras of projections in Banach spaces
AbstractThis 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∞.
- Catholic University of Cordoba Argentina
- University System of Ohio United States
- Catholic University of Eichstätt-Ingolstadt Germany
- Kent State University United States
Banach space, Algebras of operators on Banach spaces and other topological linear spaces, projection, Stone spaces (Boolean spaces) and related structures, SB Mathematik - Allgemeines, Boolean algebra, Classical Banach spaces in the general theory
Banach space, Algebras of operators on Banach spaces and other topological linear spaces, projection, Stone spaces (Boolean spaces) and related structures, SB Mathematik - Allgemeines, Boolean algebra, Classical Banach spaces in the general theory
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