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A characterization of pre-near-standardness in locally convex linear topological spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
Let X be a locally convex linear topological space. A point z in an ultralimit enlargement of X is pre-near-standard if and only it is finite and for every equicontinuous subset S′ of the dual space X′, a point z′ belongs to *S′ ∩ μσ(X′, X) (0) only if z′ (z) is infinitesimal.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1972 , pp. 107 - 115
- Copyright
- Copyright © Australian Mathematical Society 1972