English

Total subspaces in dual Banach spaces which are not norming

Functional Analysis 2010-09-07 v1

Abstract

The main result: the dual of separable Banach space XX contains a total subspace which is not norming over any infinite dimensional subspace of XX if and only if XX has a nonquasireflexive quotient space with the strictly singular quotient mapping.

Keywords

Cite

@article{arxiv.math/9303204,
  title  = {Total subspaces in dual Banach spaces which are not norming},
  author = {Mikhail I. Ostrovskii},
  journal= {arXiv preprint arXiv:math/9303204},
  year   = {2010}
}
R2 v1 2026-07-22T17:54:15.063Z