Convexity of Chebyshev Sets
In Theorem 3.5 we saw that every closed convex subset of a Hilbert space is a Chebyshev set. In this chapter we will study the converse problem of whether or not every Chebyshev subset of a Hilbert space must be convex.
KeywordsHilbert Space Product Space Normed Linear Space Smooth Banach Space Smooth Point
Unable to display preview. Download preview PDF.