Additive perturbations and multiplicative perturbations for the core inverse of bounded linear operator in Hilbert space
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The Core
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In this paper, we present some characteristics and expressions of the core inverse A# of bounded linear operator A in Hilbert spaces. Additive perturbations of core inverse are investigated under the condition R( ?)?N(A#) = {0} and an upper bound of ||?#-A#|| is obtained. We also discuss the multiplicative perturbations. The expressions of core inverse of perturbed operator T = EAF and the upper bounds of ||T#-A#|| are obtained too.
2006 ◽
Vol 73
(2)
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pp. 255-262
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1989 ◽
Vol 32
(3)
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pp. 320-326
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1969 ◽
Vol 21
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pp. 1421-1426
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2020 ◽
Vol 18
(05)
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pp. 2050031
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2008 ◽
Vol 39
(4)
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pp. 347-352
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