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Bounded Linear Operator and Basic Sequences

Shi Feng(Dept. of Math.Wuhan University,Wuhan China 430072)  
In this paper,we characterize some geometrical properties and some special operators of Banach space by using basic sequence, and get some good results, such as: For a bounded linear operator T: X→Y ,T is an isomorphism iff for every basic sequence {xn}1 in X, T is an isomorphism; we also get some characters of compact operator T: c0→X.
【Fund】: 国家自然科学基金
【CateGory Index】: O177
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