Published in
Cambridge University Press (CUP), Journal of the Australian Mathematical Society, 02(47), p. 300
DOI: 10.1017/s1446788700031724
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The non-emptiness of joint spectral subsets of euclidean n-space
Journal article published in 1989 by
W. J. Ricker,
A. R. Schep
This paper is made freely available by the publisher.
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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.