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An extension of Henrici theorem for the joint approximate spectrum of commuting spectral operators
Published online by Cambridge University Press: 09 April 2009
Abstract
Given two m-tuples of commuting spectral operators on a Hilbert space, T = (T1,…, Tm) and S = (S1,…, Sm), an extended version of Henrici perturbation theorem is obtained for the joint approximate spectrum of S under perturbation by T. We also derive an extended version of Bauer-Fike theorem for such tuples of operators. The method used involves Clifford algebra techniques introduced by McIntosh and Pryde.
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- Research Article
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- Copyright © Australian Mathematical Society 2003
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