简介：ThispaperpresentsadiscussiononaproblemsuggestedbyN.Salinas（J.OperatorTheory,Vol.10,1983）,i.e.,ifT=（T1,T2,…,Tn）isacommutingn-tupleofhyponormaloperatorsonacomplexHilbertspace,dowehave（1）（2）δ（T-μ）=dist（μ,σl（T））,μ∈Cn?Itisprovedthattheproblems（1）and（2）arebothtrueforsomecommutingn-tuplesofsemihyponormaloperators.Ingeneralcase,problem（1）hasanegativeanswer.Asanap-plication,wepointoutthatthereexistsacommutingn-tupleofhyponormaloperatorsT（n≥2）,suchthat|λ|<,whereσT（T）denotesJ.L.Taylor’sjointspectraofT,eveniftheconditionofTaylor’sjointspectraofTisgiven.
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