Weighted gDMP inverse of operators between Hilbert spaces
Bull. Korean Math. Soc. 2018 Vol. 55, No. 4, 1263-1271
Published online June 11, 2018
Printed July 31, 2018
Dijana Mosic
University of Nis
Abstract : 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.
Keywords : DMP inverse, Wg-Drazin inverse, Moore-Penrose inverse, Hilbert space
MSC numbers : 47A05, 47A99, 15A09
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