No abstract

No abstract

We study long chains of iterated weak * derived sets, that is, sets of all weak * limits of bounded nets, of subspaces with the additional property that the penultimate weak * derived set is a proper norm dense subspace of the dual. We extend the result of Ostrovskii and show that in the dual of any non-quasi-reflexive Banach space containing an infinite-dimensional subspace with separable dual, we can find for any countable successor ordinal α a subspace whose weak * derived set of order α is proper and norm dense.

No abstract

No abstract