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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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