A Note on the Continuity of Moore-Penrose Inverses T~+

Jipu Ma · Mathematica Applicata · 2006

Let X be a topological space.Let H_1 and H_2 be two Hilbert spaces and T_ (·) be a continuous mapping from X into B(H_1,H_2).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.

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