Abstract
LetF be a quasi-linear map on a separable normed spaceE, and assume thatF splits on an infinite-dimensional subspace ofE. Then the twisted sum topology on ℝ⊗FE can be written as the supremum of a nearly convex topology and a trivial dual topology. (This partially answers a question of Klee.) The result applies to the Ribe space and to James’s space.
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