Completions with respect to total nonnorming subspaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 317-322
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 $l_1$.
@article{JMAG_1999_6_3_a8,
author = {M. I. Ostrovskii},
title = {Completions with respect to total nonnorming subspaces},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {317--322},
year = {1999},
volume = {6},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a8/}
}
M. I. Ostrovskii. Completions with respect to total nonnorming subspaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 3, pp. 317-322. http://geodesic.mathdoc.fr/item/JMAG_1999_6_3_a8/