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We introduce new generalized inverses (named the WgDMP inverse and dual WgDMP inverse) for a bounded linear operator between two Hilbert spaces, using its Wg-Drazin inverse and its Moore-Penrose inverse. Some new properties of WgDMP inverse and dual WgDMP inverse are obtained and some known results are generalized.
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참고문헌 (12)
참고문헌 신청
O. M. Baksalary / 2010 / Core inverse of matrices / Linear Multilinear Algebra 58(5-6):681~697
N. Castro Gonzalez / 2004 / New additive results for the g-Drazin inverse / Proc. Roy. Soc. Edinburgh Sect. A 134(6):1085~1097
R. E. Cline / 1980 / A Drazin inverse for rectangular matrices / Linear Algebra Appl. 29:53~62
A. Dajic / 2007 / The weighted g-Drazin inverse for operators / J. Aust. Math. Soc. 82(2):163~181
M. P. Drazin / 1958 / Pseudo-inverses in associative rings and semigroups / Amer. Math. Monthly 65:506~514
N. Castro Gonzalez / 2004 / New additive results for the g-Drazin inverse / Proc. Roy. Soc. Edinburgh Sect. A 134(6):1085~1097
R. E. Cline / 1980 / A Drazin inverse for rectangular matrices / Linear Algebra Appl. 29:53~62
A. Dajic / 2007 / The weighted g-Drazin inverse for operators / J. Aust. Math. Soc. 82(2):163~181
M. P. Drazin / 1958 / Pseudo-inverses in associative rings and semigroups / Amer. Math. Monthly 65:506~514
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