Weak *-Polish Banach spaces (Q1109285)

If Y is a Banach space and a separable Banach space \(X\subset Y\) *, then X is said to be w *-Polish if the closed unit ball of X is Polish in the w *-topology (i.e. homeomorphic to a separable complete metric space). This property of Banach spaces is carefully studied in connection to properties like the point of continuity property, skipped blocking decompositions, finite dimensional decompositions etc. Many results in these areas are obtained using this approach.