Geodesic
Joint spectra and joint numerical ranges for pairwise commuting operators in Banach spaces
Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 145-153

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper M. Cho [5] asked whether Taylor's joint spectrum σ(a1, ..., an; X) of a commuting n-tuple (a1,..., an) of continuous linear operators in a Banach space X is contained in the closure V(a1, ..., an; X)- of the joint spatial numerical range of (a1, ..., an). Among other things we prove that even the convex hull of the classical joint spectrum Sp(a1, ..., an; 〈a1, ..., an〉), considered in the Banach algebra 〈a1, ..., an〉, generated by a1, ..., an, is contained in V(a1, ..., an; X)-. 
Wrobel, Volker. Joint spectra and joint numerical ranges for pairwise commuting operators in Banach spaces. Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 145-153. doi: 10.1017/S0017089500007163
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