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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 1999, Volume 6, Number 3/4, Pages 317–322
(Mi jmag417)
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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
Citation:
M. I. Ostrovskii, “Completions with respect to total nonnorming subspaces”, Mat. Fiz. Anal. Geom., 6:3/4 (1999), 317–322
Linking options:
https://www.mathnet.ru/eng/jmag417 https://www.mathnet.ru/eng/jmag/v6/i3/p317
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Abstract page: | 101 | Full-text PDF : | 44 |
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