关于Banach空间自反性问题的讨论

Discussions on Reflexive Problem of Banach Space

阐述和总结了对Banach空间自反性问题所做的工作,并在此基础上利用对偶映射的概念与(S)性质给出了Banach空间自反的一些新的充要条件和充分条件。

This paper states the study on reflexive problem of Banach space .On the ground of the above facts some new necessary and sufficient conditions and sufficient conditions of Banach space reflexion is given by using dual mapping and(S)-property.