Research Article

Extension of continuous linear operators on C_b (X, E)

Published in: Quaestiones Mathematicae
Volume 45 , issue 9 , 2022 , pages: 1435–1448

DOI: 10.2989/16073606.2021.1948454

Author(s): Juliusz Stochmal , Poland

Keywords: 46G10 , 46E40 , 46A70 , 47B38 , 47A20 , 46G10 , 46E40 , 46A70 , 47B38 , 47A20

Abstract

Let X be a completely regular Hausdorﬀ space and E be a Banach space. Let C_b (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 C_b (X, E) to a Banach space F to corresponding continuous linear operators acting from to F.

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