Displaying similar documents to “A note on a theorem of Klee”

Simple construction of spaces without the Hahn-Banach extension property

Jerzy Kąkol (1992)

Commentationes Mathematicae Universitatis Carolinae

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An elementary construction for an abundance of vector topologies ξ on a fixed infinite dimensional vector space E such that ( E , ξ ) has not the Hahn-Banach extension property but the topological dual ( E , ξ ) ' separates points of E from zero is given.

A note on Banach spaces with 1 -saturated duals

Denny H. Leung (1996)

Commentationes Mathematicae Universitatis Carolinae

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It is shown that there exists a Banach space with an unconditional basis which is not c 0 -saturated, but whose dual is 1 -saturated.