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Nonconvex linear topologies with the Hahn Banach extension property.


Authors: D. A. Gregory and J. H. Shapiro
Journal: Proc. Amer. Math. Soc. 25 (1970), 902-905
MSC: Primary 46.01
DOI: https://doi.org/10.1090/S0002-9939-1970-0264361-X
MathSciNet review: 0264361
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Abstract: Let $ \langle E,E'\rangle $ be a dual pair of vector spaces. It is shown that whenever the weak and Mackey topologies on $ E$ are different there is a nonconvex linear topology between them. In particular this provides a large class of nonconvex linear topologies having the Hahn Banach Extension Property.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1970-0264361-X
Keywords: Hahn Banach Theorem, Mackey topology, weak topology, nonconvex topology
Article copyright: © Copyright 1970 American Mathematical Society