Weak${}^{\ast }$ closures and derived sets in dual Banach spaces

Mikhail I. Ostrovskii

The main results of the paper: {\bf (1)} The dual Banach space $X^{\ast }$ contains a linear subspace $A\subset X^{\ast }$ such that the set $A^{(1)}$ of all limits of weak${}^{\ast }$ convergent boun…