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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1995, Volume 2, Number 3, Pages 312–318 (Mi jmag634)  
Extension of Uniformly Convex Norms

A. Yu. Kellerman

Kharkiv State University
Full-text PDF (990 kB)
Abstract: In the uniformly convex Banach space any equivalent uniformly convex norm on a closed subspace may be extended to an equivalent uniformly convex norm on the whole space. The same result is obtained also for strictly convex norm.
Received: 18.04.1994
Bibliographic databases:
Document Type: Article
UDC: 517.982
Language: Russian
Citation: A. Yu. Kellerman, “Extension of Uniformly Convex Norms”, Mat. Fiz. Anal. Geom., 2:3 (1995), 312–318
Citation in format AMSBIB
\Bibitem{Kel95}
\by A.~Yu.~Kellerman
\paper Extension of Uniformly Convex Norms
\jour Mat. Fiz. Anal. Geom.
\yr 1995
\vol 2
\issue 3
\pages 312--318
\mathnet{http://mi.mathnet.ru/jmag634}
\zmath{https://zbmath.org/?q=an:0860.46009}
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  • https://www.mathnet.ru/eng/jmag/v2/i3/p312
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