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 | References | Similar Articles | Additional Information

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

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.