J. Aust. Math. Soc.
75 (2003), 233-245
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An extension of Henrici theorem for the joint approximate spectrum of commuting spectral operators
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Abstract
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Given two
m-tuples of commuting spectral operators on a
Hilbert space,
 and
 , an extended version of Henrici perturbation
theorem is obtained for the joint approximate
spectrum of
 under perturbation by
 . 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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