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A long time ago I happened to look at, and save (on a floppy disk!) for future reading, a copy of the following article: W. T. Gowers, Polytope approximations of the unit ball of $l^n_p$. In Convex ...

This question is directly inspired by Pietro Majer's question and my answer to it. One can define a simplex, and the dihedral angles thereof in an infinite dimensional Hilbert space (one has to take ...