In the paper,we prove that the two newtype of Banach spaces are more extensive than separable Banach spaces and weakly compactlygenerated Banach spaces,and retaim a lot of properties of sepatable Banach spaces.

• 本文证明了这两类新引入的空间比可分空间与弱紧生成的Banach空间都要广泛并且保留了可分空间的许多重要性质。