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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Spectral radius inequalities for Hilbert space operators


Author: Fuad Kittaneh
Journal: Proc. Amer. Math. Soc. 134 (2006), 385-390
MSC (2000): Primary 47A05, 47A10, 47A30, 47B47
Published electronically: September 20, 2005
MathSciNet review: 2176006
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Abstract: We prove several spectral radius inequalities for sums, products, and commutators of Hilbert space operators. Pinching inequalities for the spectral radius are also obtained.


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Additional Information

Fuad Kittaneh
Affiliation: Department of Mathematics, University of Jordan, Amman, Jordan
Email: fkitt@ju.edu.jo

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07796-8
PII: S 0002-9939(05)07796-8
Keywords: Spectral radius, inequality, operator matrix, commutator
Received by editor(s): March 17, 2004
Received by editor(s) in revised form: April 12, 2004
Published electronically: September 20, 2005
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.