%0 Journal Article %T Total subspaces in dual Banach spaces which are not norming %A Mikhail I. Ostrovskii %J Mathematics %D 1993 %I arXiv %X The main result: the dual of separable Banach space $X$ contains a total subspace which is not norming over any infinite dimensional subspace of $X$ if and only if $X$ has a nonquasireflexive quotient space with the strictly singular quotient mapping. %U http://arxiv.org/abs/math/9303204v1