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Department of Mathematics McGill University Box 6070 Station
Vector Valued Inner Measures
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Amer application approximation arbitrary assume Baire Banach space Bochner Borel measure bounded called closed compact complete condition consider contained continuous convergence convex Corollary corresponding defined definition denote density differentiation disjoint easy elements equivalent example exists extension fact finite function function f given hence Hilbert space holds implies integral interesting interval lattice Lebesgue Lemma lifting limit linear locally Math maximal measurable functions measure measure space metrizable norm o-algebra operator Pettis integrable positive probability problem proof proposition prove Radon regular relation relèvement Remark resp respect restriction result satisfies separable sequence STEP subset sufficient summable Suppose theorem théorème theory topology u-measurable uniform union University valued vector measure weak