Spectral permanence for the Moore-Penrose inverse
Authors:
Dragan S. Djordjević, Snežana Č. Živković-Zlatanović and Robin E. Harte
Journal:
Proc. Amer. Math. Soc. 140 (2012), 3237-3245
MSC (2000):
Primary 46H05, 47A05, 47A53
DOI:
https://doi.org/10.1090/S0002-9939-2012-11159-1
Published electronically:
January 26, 2012
MathSciNet review:
2917096
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: C* algebra ``spectral permanence'' extends from the ordinary inverse to the Moore-Penrose inverse.
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-algebras, Linear Multilinear Algebra 57 (2009), 587-594. 
-algebras, Studia Math. 103 (1992), 71-77. 
condition, Math. Zeit. 193 (1986), 1-9. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46H05, 47A05, 47A53
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Additional Information
Dragan S. Djordjević
Affiliation:
Department of Mathematics and Informatics, Faculty of Sciences and Mathematics, University of Niš, Niš 18000, Serbia
Email:
dragan@pmf.ni.ac.rs; dragandjordjevic70@gmail.com
Snežana Č. Živković-Zlatanović
Affiliation:
Department of Mathematics and Informatics, Faculty of Sciences and Mathematics, University of Niš, Niš 18000, Serbia
Email:
mladvlad@open.telekom.rs
Robin E. Harte
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Ireland
Email:
rharte@maths.tcd.ie
DOI:
https://doi.org/10.1090/S0002-9939-2012-11159-1
Keywords:
Drazin inverse,
Moore-Penrose inverse,
Fredholm theory,
C* algebras
Received by editor(s):
July 9, 2010
Received by editor(s) in revised form:
March 30, 2011
Published electronically:
January 26, 2012
Additional Notes:
The authors are supported by the Ministry of Science of Serbia, grant #174007.
Communicated by:
Marius Junge
Article copyright:
© Copyright 2012
American Mathematical Society
