关于m－增生算子紧扰动的值域

ON THE RANGES OF COMPACT PERTURBATIONS OF m-ACCRETIVE OPERATORS

设ｘ是实Ｂａｎａｃｈ空间，是ｍ－增生算子，ｃ：Ｘ→Ｘ是紧映射。本文给出和的一些新条件，并改进和完善了已有的一些工作。

Assume X is a real Banach space,is m- accretive and C:X→Xcompact.The authors prove that if one of the following conditions holds:(i)There exist θ∈[0,1]and positive constants a,b and r such that≥b and u∈Tx;(ii)lim inf r∈D(T),u∈Tx and f∈F(x)=∞.Then R(T+c)=x,where R(T+c)denotes the range of T+c.