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.
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。
Furthmore and it is proved that every 2-local isometry of TUHF algebra is linear.
进一步证明了TUHF代数上满的2 -局部等距为线性。
We also prove that every 2-local isomety of UHF algebra is linear by studying the structure of the surjective isometry on UHF algebra.
对于UHF代数上满等距的结构，还证明了UHF代数上的2局部（满线性）等距是线性的。
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