Weak∗ locally uniformly rotund norms and descriptive compact spaces
作 者：
M. Raja;
出版年：2003
页 码：1 - 13
出版社：Elsevier BV
摘 要：
We prove that a dual Banach space X* has an equivalent W*LUR norm if and only if the weak* topology has a [sigma]-isolated network. We give sufficient conditions for the existence of equivalent norms with various kinds of differentiability.
关键字：
Weak* locally uniformly rotund norms;Smooth renorming of Banach spaces;Weak Asplund Banach spaces;Fragmentable and descriptive spaces;Sigma-isolated network
