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The non-emptiness of joint spectral subsets of euclidean n-space
Published online by Cambridge University Press: 09 April 2009
Abstract
A.McIntosh and A. Pryde introduced and gave some applications of notion of “spectral set”, γ(T), associated with each finite, commuting family of continuous linear operators T in a Banach space. Unlike most concepts of joint spectrum, the set γ(T) is part of real Euclidean space. It is shown that γ(T) is always non-empty whenver there are at least two operators in T.
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- Copyright © Australian Mathematical Society 1989
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