On the distance between two Chebyshev sets in Banach spaces.

El-Sayed, Wagdy G.

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We apply the Chebyshev coefficients λ and λ, recently introduced by the authors, to obtain some results related to certain geometric properties of Banach spaces. We prove that a real normed space E is an L-predual if and only if λ(E) = 1/2, and that if a (real or complex) normed space E is a P space, then λ(E) equals λ(K), where K is the ground field of E.