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학술저널

Some Geometric Properties of the Weak*-integral

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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.

ABSTRACT

0. Introduction

1. The weak* core

2. The weak* essential range

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