论文标题
关于紧凑型范围的全态映射
On holomorphic mappings with compact type range
论文作者
论文摘要
使用Mujica的线性化定理,我们扩展到全体形态,设定了一些经典的特征(弱紧凑,罗森塔尔,阿斯普伦德)线性算子之间的线性算子,例如Schauder,Gantmacher和Gantmacher-Nakamura定理和Davis-figiel-johnsson-pelenterspliation and rosemspliant and rosemspliation and the and。
Using Mujica's linearization theorem, we extend to the holomorphic setting some classical characterizations of compact (weakly compact, Rosenthal, Asplund) linear operators between Banach spaces such as the Schauder, Gantmacher and Gantmacher-Nakamura theorems and the Davis-Figiel-Johnson-Pelczynski, Rosenthal and Asplund factorization theorems.