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Spectral radius inequalities for Hilbert space operators
Author(s):
Fuad
Kittaneh
Journal:
Proc. Amer. Math. Soc.
134
(2006),
385-390.
MSC (2000):
Primary 47A05, 47A10, 47A30, 47B47
Posted:
September 20, 2005
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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.
References:
-
- 1.
- P. R. Halmos, A Hilbert Space Problem Book, 2nd ed., Springer-Verlag, New York, 1982. MR 0675952 (84e:47001)
- 2.
- J. C. Hou and H. K. Du, Norm inequalities of positive operator matrices, Integral Equations Operator Theory 22 (1995), 281-294. MR 1337376 (96e:47007)
- 3.
- F. Kittaneh, Norm inequalities for sums of positive operators, J. Operator Theory 48 (2002), 95-103. MR 1926046 (2003g:47016)
- 4.
- F. Kittaneh, A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix, Studia Math. 158 (2003), 11-17. MR 2014548 (2004i:15022)
- 5.
- F. Kittaneh, Bounds for the zeros of polynomials from matrix inequalities, Arch. Math. (Basel) 81 (2003), 601-608. MR 2029723 (2004j:15035)
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Additional Information:
Fuad
Kittaneh
Affiliation:
Department of Mathematics, University of Jordan, Amman, Jordan
Email:
fkitt@ju.edu.jo
DOI:
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
Posted:
September 20, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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