算子n次幂的零维与半正则性The Nullity of the n-powers of an Operator and Semi-regularity
陈剑岚;钟怀杰;
摘要(Abstract)：
对线性算子T的n次幂Tn,讨论其零空间N(Tn)的维数α(Tn):=dim N(Tn)与n.α(T)的关系,证明了当T是上半-Fredholm算子时,α(Tn)=n.α(T)对一切自然数n成立当且仅当T是半正则的.
关键词(KeyWords)： 零维;Fredholm算子;半正则
基金项目(Foundation): 福建省教育厅资助项目(JB04249)
作者(Authors): 陈剑岚;钟怀杰;
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