Banach空间上的单值延拓性质

The single valued extension property on a Banach space

设A为Banach空间X上的一个有界线性算子.给出了算子A具有单值延拓性质的特征;利用算子的单值延拓性质,研究了正则算子的摄动和线性算子的分解.

For a bounded linear operator A on a Banach space X, it characterizes the single valued extension property of A. Also, it applies the single valued extension property to the perturbation of regular operator and the decomposition of the linear operator.