Sets invariant under projections onto one dimensional subspaces
Simon Fitzpatrick, Bruce Calvert (1991)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
The Hahn–Banach theorem implies that if is a one dimensional subspace of a t.v.s. , and is a circled convex body in , there is a continuous linear projection onto with . We determine the sets which have the property of being invariant under projections onto lines through subject to a weak boundedness type requirement.