Proposition 17.2.7.label Let $E$ be a locally convex space, then:

  1. (1)

    For each equicontinuous family $\cf \subset E^{*}$ equicontinuous, $\cf^{\circ} \in \cn_{E}(0)$.

  2. (2)

    For each $U \in \cn_{E}(0)$, $U^{\circ}$ is equicontinuous.

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