Operator matrix of Moore-Penrose inverse operators on Hilbert C*-modules

• Autorzy: Mehdi Mohammadzadeh Karizaki , Mahmoud Hassani , Maryam Amyari , Maryam Khosravi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 46L08: C * -modules
• 15A09: Matrix inversion, generalized inverses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 140
• Numer: 2
• Strony: 171-182

Daty

wydano

2015

Twórcy

autor

Mehdi Mohammadzadeh Karizaki

• Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran

autor

Mahmoud Hassani

• Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran

autor

Maryam Amyari

• Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad 91735, Iran

autor

Maryam Khosravi

• Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran
• Tusi Mathematical Research Group, (TMRG), P.O. Box 1113, Mashhad 91775, Iran

Identyfikatory

DOI

10.4064/cm140-2-2