Geodesic
Smoothness criteria for a~Banach space to be convertible into a~Hilbert space
Matematičeskie zametki, Tome 9 (1971) no. 4, pp. 385-390.

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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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     author = {B. E. Veits},
     title = {Smoothness criteria for {a~Banach} space to be convertible into {a~Hilbert} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {385--390},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_4_a2/}
}
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B. E. Veits. Smoothness criteria for a~Banach space to be convertible into a~Hilbert space. Matematičeskie zametki, Tome 9 (1971) no. 4, pp. 385-390. http://geodesic.mathdoc.fr/item/MZM_1971_9_4_a2/