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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
Posted:
January 26, 2012
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Additional Information
Abstract: C* algebra ``spectral permanence'' extends from the ordinary inverse to the Moore-Penrose inverse.
References
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R. Caradus, W.
E. Pfaffenberger, and Bertram
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(54 #3434)
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S. Djordjević, J.
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Straškraba, Factorization of EP elements in
𝐶*-algebras, Linear Multilinear Algebra 57
(2009), no. 6, 587–594. MR 2543720
(2010m:46085), http://dx.doi.org/10.1080/03081080802264372
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Dragan
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2472376 (2009h:47002)
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Robin
Harte, Invertibility and singularity for bounded linear
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(89d:47001)
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Robin
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(93i:46097)
- 6.
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852905 (87k:46111), http://dx.doi.org/10.1007/BF01163350
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- 8.
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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:
http://dx.doi.org/10.1090/S0002-9939-2012-11159-1
PII:
S 0002-9939(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
Posted:
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
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