Weighted gDMP inverse of operators between Hilbert spaces
Bull. Korean Math. Soc. 2018 Vol. 55, No. 4, 1263-1271 https://doi.org/10.4134/BKMS.b170753 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
