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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1999, Volume 6, Number 3/4, Pages 317–322 (Mi jmag417)  

Completions with respect to total nonnorming subspaces

M. I. Ostrovskii

B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., 31064, Kharkov, Ukraine
Abstract: The structure of completions of Banach spaces with respect to total nonnorming subspaces of dual spaces is studied. The obtained results imply, in particular, that such completions can be non-isomorphic to quotients of the space. In a separable case any one of the completions is isomorphic to a completion of $l_1$.
Received: 01.09.1997
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. I. Ostrovskii, “Completions with respect to total nonnorming subspaces”, Mat. Fiz. Anal. Geom., 6:3/4 (1999), 317–322
Citation in format AMSBIB
\Bibitem{Ost99}
\by M.~I.~Ostrovskii
\paper Completions with respect to total nonnorming subspaces
\jour Mat. Fiz. Anal. Geom.
\yr 1999
\vol 6
\issue 3/4
\pages 317--322
\mathnet{http://mi.mathnet.ru/jmag417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737216}
\zmath{https://zbmath.org/?q=an:0960.46014}
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