Abstract
Let X be a completely regular Hausdorff space and E be a Banach space. Let Cb (X, E) (resp. ) be the space of all bounded continuous (resp. bounded strongly Borel-measurable) functions f : X → E, equipped with the natural mixed topologies. Then whenever X or E is separable. We study the problem of extension of different classes of continuous linear operators acting from Cb (X, E) to a Banach space F to corresponding continuous linear operators acting from to F.
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