Banach空间上基本完全的双正交系成为Cesaro基的充要条件

The necessary and sufficient condition in Banach spaces

利用BK空间的理论讨论了具有给定的完全双正交系的Banach空间X的乘子空间M(X)的性质,给出了Banach空间X上基本完全的双正交系成为Cesaro基的充要条件。

<Abstrcat>Utilizing the theories of BK spaces, this paper discusses the properties of multiplier spaces M(X). The necessary and sufficient condition, which fundamental and total biorthogonal system in Banach spaces is Cesaro basis, is given.