Banach空间逼近紧性与预报算子连续性的几何条件

Approximative Compactness and Geometric Conditions for Continuity of Prediction Operator in Banach Spaces

首先给出 Banach空间为逼近紧的几何特征 .然后用随机变量组成的 Banach空间及空间中预报集的几何性质给出预报算子连续的条件 .

Geometric criteria for Banach space to be approximative compact has been given in this paper at first. The conditions for continuity of the prediction operator is given by the Banach space consisting of random variables and geometric properties of the predicative set in this space.