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Completeness and intertwined completeness of locally convex spaces

Published online by Cambridge University Press:  24 October 2008

Steven F. Bellenot  and
Edward G. Ostling
Steven F. Bellenot
Affiliation:
Florida State University, Tallahassee, Florida 32306
Edward G. Ostling
Affiliation:
Hofstra University, Hempstead, New York 11550
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Abstract

Two collections of locally convex space topologies are shown to have the intertwined completeness property. This is done by relating their completions with sets of sequentially continuous functionals on the dual.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 1 , January 1977 , pp. 25 - 30
Copyright
Copyright © Cambridge Philosophical Society 1977

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