此外，还证明了弱欧几里德空间的共轭空间仍然是弱欧几里德空间。

In addition, it is showed that the conjugate Spaces of Weak Euclidean Spaces are still Weak Euclidean Spaces.

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给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。

It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.

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本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。

In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space.

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