Geodesic
Norm Convergence of Tn
Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1340-1344

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

Throughout this paper X will denote a complex Banach space and all operators T will be assumed to be continuous linear transformations from X into X. If T is an operator then ┘(T), γ(T), and R(T) will denote the spectrum of T, the spectral radius of T, and range of T, respectively. This paper contains necessary and sufficient conditions for the (norm) convergence of {Tn } when T is an operator on X. 
Luecke, Glenn R. Norm Convergence of Tn. Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1340-1344. doi: 10.4153/CJM-1977-133-0
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