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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进一步证明了TUHF代数上满的2 -局部等距为线性。

Furthmore and it is proved that every 2-local isometry of TUHF algebra is linear.

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本文进一步研究了严格凸空间的性质，并给出了等距算子为线性算子的一个充分条件。

In this paper the properties of the strictly convex space are studied further. In the time this paper further gives a sufficient condition that isometric operator is linear operator.

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