We prove that if a weak*-measurable function f defined on a finite measure space into a dual Banach space is separable-like, then for every measurable set E, the weak* core of f over E is the weak* convex closed hull of the weak* essential range of f ...
We prove that if a weak*-measurable function f defined on a finite measure space into a dual Banach space is separable-like, then for every measurable set E, the weak* core of f over E is the weak* convex closed hull of the weak* essential range of f over E.