Banach空间中有界线性算子(2,3)逆的扰动不变性

Invariance of perturbation of bounded linear operators(2,3) inverse in Banach space

对于Banach空间中具有(2,3)逆的有界线性算子T,在小扰动||δTT^(2,3)|| <1,(δT为扰动算子)下,利用广义的Neumann引理给出了T的(23),逆在小扰动下的不变性判据及扰动估计.

For bounded linear operators T with(2,3)inverses in Banach spaces,the invariance criteria and perturbation estimates of(2,3)inverses under small perturbations(23)d TT,<1(d T is perturbation operators)are given by using generalized Neumann lemma.