Geodesic
Completions with respect to total nonnorming subspaces
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999), pp. 317-322.

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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_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},
     publisher = {mathdoc},
     volume = {6},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_a8/}
}
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M. I. Ostrovskii. Completions with respect to total nonnorming subspaces. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999), pp. 317-322. http://geodesic.mathdoc.fr/item/JMAG_1999_6_a8/