【摘要】 设X为拓扑空间.H1和H2为Hilbert空间,T(·)为X到B(H1,H2)的连续映射.本文主要利用Tikhonov正则化算子给出了Moore-Penrose逆T+x连续的充分必要条件.这个结果在计算数学中是很重要的.更多还原

【Abstract】 Let X be a topological space.Let H₁ and H₂ be two Hilbert spaces and T （·） be a continuous mapping from X into B（H₁,H₂）.In this paper,using the Tickhonov regularizer,we give a sufficient and necessary condition for the Moore-Penrose inverses T+_x being continuous,which plays an important role in the computation.更多还原