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Linear and Multilinear Algebra Volume 55, 2007 - Issue 2
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Original Articles

Range projections and the Moore–Penrose inverse in rings with involution

J. J. Koliha Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, AustraliaCorrespondence[email protected]
&
V. RakoČević Faculty of Science and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
Pages 103-112 | Received 24 Mar 2005, Accepted 28 Oct 2005, Published online: 23 Nov 2006

References

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  • Harte , R and Mbekhta , M . 1993 . On generalized inverses in C∗-algebras II . Studia Mathematica , 106 : 129 – 138 .
  • Koliha , JJ . 2001 . Range projections of idempotents in C∗-algebras . Demonstratio Mathematica , 34 : 91 – 103 .
  • Koliha , JJ and Rakočević , V . 2004 . On the norm of idempotents in C∗-algebras . Rocky Mountain Journal of Mathematics , 34 : 685 – 697 .
  • Koliha , JJ and Rakočević , V . 2003 . Invertibility of the difference of idempotents . Linear and Multilinear Algebra , 51 : 97 – 110 .
  • Ljance , VE . 1959 . Some properties of idempotent operators (in Russian) . Teoretichna i Prikladna Mathematika , 1 : 16 – 22 .
  • Penrose , R . 1955 . A generalized inverse for matrices . Mathematical Proceedings of the Cambridge Philosophical Society , 51 : 406 – 413 .
  • Rakočević , V . 2000 . On the norm of idempotent in a Hilbert space . The American Mathematical Monthly , 107 : 748 – 750 .

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