Nonconvex linear topologies with the Hahn Banach extension property.
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- by D. A. Gregory and J. H. Shapiro
- Proc. Amer. Math. Soc. 25 (1970), 902-905
- DOI: https://doi.org/10.1090/S0002-9939-1970-0264361-X
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Abstract:
Let $\langle E,Eā\rangle$ 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.References
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Bibliographic Information
- © Copyright 1970 American Mathematical Society
- 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