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PDF(446 KB)
PDF(446 KB)
Banach空间度量广义逆的乘积扰动
Multiplicative Perturbations of Metric Generalized Inverse in Banach Space
设X，Y为自反严格凸Banach空间.记A∈B（X，Y）为具有闭值域R（A）的有界线性算子，有界线性算子T=EAF∈B（X，Y）为A的乘积扰动.本文研究了有界线性算子A的Moore-Penrose度量广义逆的乘积扰动.在值域R（A）为α阶一致强唯一和零空间N（A）为β阶一致强唯一的条件下.给出了||TM-AM||的上界估计，作为应用，我们在Lp空间上讨论了Moore-Penrose度量广义逆的乘积扰动.
Suppose X, Y are reflexive strictly convex Banach spaces. Let A ∈ B(X, Y) be a bounded linear operator with R(A) closed. T=EAF ∈ B(X, Y) is a multiplicative perturbation of A. In this paper, we investigate the multiplicative perturbations of the metric generalized inverse of A. We present the upper bound of ||TM-AM under the condition that the range R(A) and the null space N(A) are uniformly strong unique of order α and order β, respectively. As an application, we consider the multiplicative perturbation of metric generalized inverse in Lp space.
乘积扰动 / Moore-Penrose度量广义逆 / 一致强唯一 {{custom_keyword}} /
multiplicative perturbation / metric generalized inverse / uniformly strong unique {{custom_keyword}} /
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国家自然科学基金资助项目（11531003）；上海市科学技术委员会项目（18dz2271000）
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