A conjecture implying the existence of non-convex Chebyshev sets in infinite-dimensional Hilbert spaces

  • Biagio Ricceri
Keywords: Chebyshev set, Hilbert space, Convexity.

Abstract

In this paper, we propose the study of a conjecture whose positive solution would provide an example of a non-convex Chebyshev set in an infinite-dimensional real Hilbert space.
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