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http://dx.doi.org/10.4134/BKMS.b170753

WEIGHTED GDMP INVERSE OF OPERATORS BETWEEN HILBERT SPACES  

Mosic, Dijana (Faculty of Sciences and Mathematics University of Nis)
Publication Information
Bulletin of the Korean Mathematical Society / v.55, no.4, 2018 , pp. 1263-1271 More about this Journal
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;
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