## Simple construction of spaces without the Hahn-Banach extension property.(English)Zbl 0777.46003

Summary: 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.

### MSC:

 46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
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