Abstract
In the present paper we prove, that in the real normed space X, having at least three dimensions, the Nordlander’s conjecture about the modulus of convexity of the space X is true, i.e. from the validity of Day’s inequality for a fixed real number from the interval (0,2), follows that X is an inner product space.
Citation
George Z. Chelidze. "On Nordlander’s conjecture in the three-dimensional case." Ark. Mat. 47 (2) 267 - 272, October 2009. https://doi.org/10.1007/s11512-008-0090-0
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