Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert $C^{*}$-modules
The electronic journal of linear algebra, Tome 22 (2011), pp. 1070-1084.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A necessary and sufficient condition for the existence of the general common positive solution to equations A
Classification : 47A62, 47B15, 47B65, 15A09, 15A24
Keywords: Hilbert C * -module, Moore-Penrose inverse, operator equation, positive solution, re-positive solution
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     author = {Song, Guang Jing and Wang, Qing Wen},
     title = {Positive and re-positive solutions to some systems of adjointable operator equations over {Hilbert} $C^{*}$-modules},
     journal = {The electronic journal of linear algebra},
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Song, Guang Jing; Wang, Qing Wen. Positive and re-positive solutions to some systems of adjointable operator equations over Hilbert $C^{*}$-modules. The electronic journal of linear algebra, Tome 22 (2011), pp. 1070-1084. http://geodesic.mathdoc.fr/item/ELA_2011__22__a7/