The Reflexive Selfadjoint Solutions to Some Operator Equations
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 . 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.
Author Details
Wenting Liang Email
Chunyuan Deng Email