Geodesic
Reverse order law for the Moore-Penrose inverse in $C^{*}$-algebras
The electronic journal of linear algebra, Tome 22 (2011), pp. 92-111.

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

Summary: In this paper, several equivalent conditions related to the reverse order law for the Moore-Penrose inverse in C * -algebras are studied. Some well-known results are extended to more general settings. Then this result is applied to obtain the reverse order rule for the weighted Moore-Penrose inverse in C * -algebras.
Classification : 16W10, 15A09, 46L05
Keywords: Moore-Penrose inverse, reverse order law, C * -algebras 
@article{ELA_2011__22__a72,
     author = {Mosi\'c, Dijana and Djordjevi\'c, Dragan S.},
     title = {Reverse order law for the {Moore-Penrose} inverse in $C^{*}$-algebras},
     journal = {The electronic journal of linear algebra},
     pages = {92--111},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a72/}
}
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Mosić, Dijana; Djordjević, Dragan S. Reverse order law for the Moore-Penrose inverse in $C^{*}$-algebras. The electronic journal of linear algebra, Tome 22 (2011), pp. 92-111. http://geodesic.mathdoc.fr/item/ELA_2011__22__a72/