AL^p-空间单位球面等距算子的延拓的一个注记

A Note on Extension of Isometries on Unit Sphere of AL^p-Space

主要是简单证明了[Hou Z.B.,Acta Mathematica Sinica,Chinese Series,2007, 50(6):1435-1440]中的主要结论:AL^P-空间(1<p<∞,p≠2)的单位球面间的任意等距算子均能够延拓成全空间的线性等距算子.

We give a simple proof of the main result in [Hou Z. B., Acta Mathematica Sinica, Chinese Series, 2007, 50（6）： 1435-1440] which shows that every isometry between unit sphere of ALP-space can be extended to a linear isometry on AL^p-space.