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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 126, Pages 138–142 (Mi znsl4200)  

A condition of isomorphism of a Banach space with the Orlicz property to a Hilbert space

B. M. Makarov
Abstract: 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.
Bibliographic databases:
Document Type: Article
UDC: 513.881
Language: Russian
Citation: B. M. Makarov, “A condition of isomorphism of a Banach space with the Orlicz property to a Hilbert space”, Investigations on linear operators and function theory. Part XII, Zap. Nauchn. Sem. LOMI, 126, "Nauka", Leningrad. Otdel., Leningrad, 1983, 138–142
Citation in format AMSBIB
\Bibitem{Mak83}
\by B.~M.~Makarov
\paper A condition of isomorphism of a~Banach space with the Orlicz property to a~Hilbert space
\inbook Investigations on linear operators and function theory. Part~XII
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 126
\pages 138--142
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4200}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=697432}
\zmath{https://zbmath.org/?q=an:0519.46020}
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  • https://www.mathnet.ru/eng/znsl4200
  • https://www.mathnet.ru/eng/znsl/v126/p138
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