Abstract
Three criteria are established for the convertibility of a Banach space into a Hilbert space, in terms of the smoothness of the unit sphere in the Banach space.
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Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 385–390, April, 1971.
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Veits, B.E. Smoothness criteria for a Banach space to be convertible into a Hilbert space. Mathematical Notes of the Academy of Sciences of the USSR 9, 221–224 (1971). https://doi.org/10.1007/BF01387768
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DOI: https://doi.org/10.1007/BF01387768