Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 138-142
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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/
@article{ZNSL_1983_126_a14,
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},
pages = {138--142},
year = {1983},
volume = {126},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a14/}
}
TY - JOUR
AU - B. M. Makarov
TI - A condition of isomorphism of a Banach space with the Orlicz property to a Hilbert space
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 138
EP - 142
VL - 126
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a14/
LA - ru
ID - ZNSL_1983_126_a14
ER -
%0 Journal Article
%A B. M. Makarov
%T A condition of isomorphism of a Banach space with the Orlicz property to a Hilbert space
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 138-142
%V 126
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a14/
%G ru
%F ZNSL_1983_126_a14
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.
