Frontiers of Mathematics in China >
Weighted weak group inverse for Hilbert space operators
Received date: 10 Apr 2020
Accepted date: 13 Jun 2020
Published date: 15 Aug 2020
Copyright
We present the weighted weak group inverse, which is a new generalized inverse of operators between two Hilbert spaces, and we extend the notation of the weighted weak group inverse for rectangular matrices. Some characterizations and representations of the weighted weak group inverse are investigated. We also apply these results to define and study the weak group inverse for a Hilbert space operator. Using the weak group inverse, we define and characterize various binary relations.
Dijana MOSIC , Daochang ZHANG . Weighted weak group inverse for Hilbert space operators[J]. Frontiers of Mathematics in China, 2020 , 15(4) : 709 -726 . DOI: 10.1007/s11464-020-0847-8
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