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Inequalities for products of spectral radii

Author(s): M. Omladic; H. Radjavi; P. Rosenthal; A. Sourour
Journal: Proc. Amer. Math. Soc. 129 (2001), 2239-2243.
MSC (2000): Primary 47A10, 46H05
Posted: March 15, 2001
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Abstract | References | Similar articles | Additional information

Abstract:

It is shown that submultiplicative inequalities for spectral radii often imply supermultiplicative inequalities, and vice versa.

References:

1.: W. Longstaff and H. Radjavi, On permutability and submultiplicativity of spectral radius, Can. J. Math. 47 (1995), 1007-1022. MR 97d:47005

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Additional Information:

M. Omladic
Affiliation: Department of Mathematics, University of Ljubljana, 1000 Ljubljana, Slovenia
Email: matjaz.omladic@un-lj.si

H. Radjavi
Affiliation: Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada B3H 4H8
Email: radjavi@mscs.dal.ca

P. Rosenthal
Affiliation: Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
Email: rosent@math.toronto.edu

A. Sourour
Affiliation: Department of Mathematics, University of Victoria, Victoria, British Columbia, Canada V8W 3P4
Email: asourour@alpha.uvic.ca

DOI: 10.1090/S0002-9939-01-05500-9
PII: S 0002-9939(01)05500-9
Received by editor(s): August 12, 1998
Received by editor(s) in revised form: February 26, 1999
Posted: March 15, 2001
Communicated by: David R. Larson
Copyright of article: Copyright 2001, American Mathematical Society


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