自反空间的一个等价条件

Equivalent Condition for Reflexive Spaces

就巴拿赫空间线性算子核等价类的范数可达性的讨论给出了空间自反的一个等价条件 :X自反 ,当且仅当对任一T∈B(X ;Y) ,X/NT 自反且 [x]∈X/NT,‖ [x]‖在

The paper discusses the abtainability of norm for the equivalent classes with kernel of the linear operator on Banach spaces,and gets an equivalent condition for the reflexive Banach spaces: X is reflexive if and only if X/N T is reflexive and ‖‖is abtainable on -1 for each ∈ X/N T .