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Lower bounds for tau coefficients and operator norms using composite matrix norms

Published online by Cambridge University Press:  17 April 2009

Choon Peng Tan
Choon Peng Tan
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur 59100, Malaysia.
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Abstract

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Lower bounds for the tau coefficients and operator norms are derived by using composite matrix norms. For a special class of matrices B, our bounds on ‖B‖p (the operator norm of B induced by the ℓp norm) improve upon a general class of Maitre (1967) bounds for p ≥ 2.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 35 , Issue 1 , February 1987 , pp. 49 - 57
Copyright
Copyright © Australian Mathematical Society 1987

References

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