Geodesic
Semi-normal operators on uniformly smooth Banach spaces
Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 273-276

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

In this paper we shall examine the relationship between the numerical ranges and the spectra for semi-normal operators on uniformly smooth spaces.Let X be a complex Banach space. We denote by X* the dual space of X and by B(X) the space of all bounded linear operators on X. A linear functional F on B(X) is called state if ∥F∥ = F(I) = 1. When x ε X with ∥x∥ = 1, we denoteD(x) = {f ε X*:∥f∥ = f(x) = l}. 
Chō, Muneo. Semi-normal operators on uniformly smooth Banach spaces. Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 273-276. doi: 10.1017/S0017089500009356
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