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A. Mclntosh and A. Pryde introduced and gave some applications of a notion of "spectral set", y(T), associated with each finite, commuting family of continuous linear operators T in a Banach space. Unlike most concepts of joint spectrum, the set y(T) is part of real Euclidean space. It is shown that y(T) is always non-empty whenver there are at least two operators in T.doi:10.1017/s1446788700031724 fatcat:xhaloolojbcfbcq7mgyq3ks5ty