A condition of isomorphism of a~Banach space with the Orlicz property to a~Hilbert space
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 138-142

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It is proved, that a Banach space $X$ with the Orlicz property is isomorphic to a Hilbert space if and only if in the class $C^2(X)$ there exists a nonzero function with a bounded support.
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     author = {B. M. Makarov},
     title = {A condition of isomorphism of {a~Banach} space with the {Orlicz} property to {a~Hilbert} space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     year = {1983},
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B. M. Makarov. A condition of isomorphism of a~Banach space with the Orlicz property to a~Hilbert space. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 138-142. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a14/