Banach空间中(X_(d,σ))—近Riesz基的稳定性

Stability of (X_(d,σ))-near Riesz Basis in Banach Spaces

该文首先给出了Banach空间上(X_(d,σ))-近Riesz基的定义和相关性质,然后在此基础上,运用算子论的方法,讨论了(X_(d,σ))-近Riesz基的稳定性,推广了文献中的若干结果.

In this paper,we first give the definition and properties of(X_(d,σ))-near Riesz basis in the Banach spaces.Then,on the basis of the above,we discuss the stability of(X_(d,σ))-near Riesz basis by using the operator theory,generalizing some known results.