论文标题
朝着近似Schauder框架及其双重的Banach空间的表征
Towards characterizations of approximate Schauder frame and its duals for Banach spaces
论文作者
论文摘要
我们开始研究最近定义的近似Schauder框架（ASF）及其对可分离Banach空间的二元组的特征。我们表明，在某些条件下，ASF及其双帧都可以为Banach空间进行特征。我们还为ASF的相似性提供了运营商理论表征。我们的结果编码了Holub，Li，Balan，Han和Larson的结果。我们还解决了ASF的正交性。
We begin the study of characterizations of recently defined approximate Schauder frame (ASF) and its duals for separable Banach spaces. We show that, under some conditions, both ASF and its dual frames can be characterized for Banach spaces. We also give an operator-theoretic characterization for similarity of ASFs. Our results encode the results of Holub, Li, Balan, Han, and Larson. We also address orthogonality of ASFs.
