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Sets invariant under projections onto one dimensional subspaces

Simon Fitzpatrick, Bruce Calvert (1991)

Commentationes Mathematicae Universitatis Carolinae

The Hahn–Banach theorem implies that if m is a one dimensional subspace of a t.v.s. E , and B is a circled convex body in E , there is a continuous linear projection P onto m with P ( B ) B . We determine the sets B which have the property of being invariant under projections onto lines through 0 subject to a weak boundedness type requirement.

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