Year: 2021
Author: Wenting Liang, Chunyuan Deng
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 236–254
Abstract
In this paper, we study the existence of the reflexive, reflexive self-adjoint and reflexive positive solutions to some operator equations with respect to the generalized reflection operator dual (P,Q). We derive necessary and sufficient conditions for the solvability of these equations and provide a detailed description of the solutions in the solvable case by using the Moore-Penrose inverses.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0006
Communications in Mathematical Research , Vol. 37 (2021), Iss. 2 : pp. 236–254
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: $(P Q)$ reflexive solution operator equation positive operator.