On the perturbation and expression for the core inverse of linear operator in Hilbert space

Lanping Zhu; Qianglian Huang; Saijie Chen

arxiv: 1807.01446 · v1 · pith:5ATUW7PKnew · submitted 2018-07-04 · 🧮 math.FA

On the perturbation and expression for the core inverse of linear operator in Hilbert space

Qianglian Huang , Saijie Chen , Lanping Zhu This is my paper

classification 🧮 math.FA

keywords coreinverseexpressionoperatorperturbationapplboundscomput

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In this note, we provide some sufficient and necessary conditions for the core inverse of the perturbed operator to have the simplest possible expression. The results improve the recent work by H. Ma (Optimal perturbation bounds for the core inverse, Appl. Math. Comput. 336 (2018) 176-181.).

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On the perturbation and expression for the core inverse of linear operator in Hilbert space

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