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Bull. Korean Math. Soc. 2018; 55(4): 1263-1271
Online first article June 11, 2018 Printed July 31, 2018
https://doi.org/10.4134/BKMS.b170753
Copyright © The Korean Mathematical Society.
Weighted gDMP inverse of operators between Hilbert spaces
Dijana Mosic
University of Nis
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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