Geodesic
Simple construction of spaces without the Hahn-Banach extension property
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 623-624.

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An elementary construction for an abundance of vector topologies $\xi $ on a fixed infinite dimensional vector space $E$ such that $(E,\xi )$ has not the Hahn-Banach extension property but the topological dual $(E,\xi )'$ separates points of $E$ from zero is given.
Classification : 46A22
Keywords: Hahn-Banach extension property; topological vector space 
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     title = {Simple construction of spaces without the {Hahn-Banach} extension property},
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Kakol, Jerzy. Simple construction of spaces without the Hahn-Banach extension property. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 623-624. http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a6/