We study the topological properties of the space of all continuous linear operators from an Orlicz space (an Orlicz function is not necessarily convex) to a Banach space . We provide the space with the Banach space structure. Moreover, we examine the space of all singular operators from to .
We study linear operators from a non-locally convex Orlicz space to a Banach space . Recall that a linear operator is said to be σ-smooth whenever in implies . It is shown that every σ-smooth operator factors through the inclusion map , where Φ̅ denotes the convex minorant of Φ. We obtain the Bochner integral representation of σ-smooth operators . This extends some earlier results of J. J. Uhl concerning the Bochner integral representation of linear operators defined on a locally convex...
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