On the points of multivaluedness of metric projections in separable Banach spaces
Luděk Zaj́ıček · Czech digital mathematics library · 1978
Given a real Banach space X and a nonem pty subset Me X we consider the set Aj| of all points of multivaluedness ef the metric projection on M. We prove that if X is separable and strictly convex, then Ag can be covered by eountably many of Lipsehitz hypersurfaees.In particular, A-g is a set of the first category and of mea sure zero for any Gaussian measure on X.Key words: Multivaluedness of metric