Weak compactness of certain sets of measures

Khurana, Surjit

doi:10.1090/S0002-9939-03-06877-1

Weak compactness of certain sets of measures
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by Surjit Singh Khurana PDF

Proc. Amer. Math. Soc. 131 (2003), 3251-3255 Request permission

Abstract:

For a compact Hausdorff space $X$ and a Montel Hausdorff locally convex space $E$, let $F= (C(X, E), u),\; u$ being the uniform topology. We determine the necessary and sufficient conditions for an equicontinuous $H \subset F’$ to be $\sigma (F’, F'')$-compact. Special results are obtained when $X$ is an $F$-space or a $\sigma$-Stonian space.

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