Abstract
AbstractLetKbe a compact Hausdorif space,Xa Banach space andC(K, X) the Banach space of all continuous functions :KXequipped with the supremum norm. A subsetHofC(K, X) is pointwise weakly precompact if, for eachtinK, the setHt) = {(t):H} is weakly precompact. In this note we study the images of a bounded pointwise weakly precompact subsetHofC(K, X) under several classes of linear operators onC(K, X).
Publisher
Cambridge University Press (CUP)
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