Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules
Mehdi Mohammadzadeh Karizaki ; Mahmoud Hassani ; Maryam Amyari ; Maryam Khosravi
Colloquium Mathematicae, Tome 139 (2015), p. 171-182 / Harvested from The Polish Digital Mathematics Library
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We show that the Moore-Penrose inverse of an operator T is idempotent if and only if it is a product of two projections. Furthermore, if P and Q are two projections, we find a relation between the entries of the associated operator matrix of PQ and the entries of associated operator matrix of the Moore-Penrose inverse of PQ in a certain orthogonal decomposition of Hilbert C*-modules.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:284282 
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Mehdi Mohammadzadeh Karizaki; Mahmoud Hassani; Maryam Amyari; Maryam Khosravi. Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules. Colloquium Mathematicae, Tome 139 (2015) pp. 171-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm140-2-2/