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

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

2011-01-15

arxiv.org/abs/1101.2992v2

Mathematics

Functional Analysis

Scientific paper

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

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