Nonconvex linear topologies
with the Hahn Banach extension property
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David A. Gregory and Joel H. Shapiro
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Proc. Amer. Math.
Soc. 25 (1970), 902--905
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| Abstract: For a dual pair (E, E') of vector spaces we show
that whenver the weak and Mackey topologies induced on E by the
pairing are different then there is a nonconvex linear topolgy
between them. In particular this provides a large class of nonconvex
linear topolgies having the extension property guaranteed for
locally convex spaces by the Hahn Banach Theorem. |
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