A non-smooth extension of Frechet differentiability of the norm with applications to numerical ranges
Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 121-137

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

The following result in the theory of numerical ranges in Banach algebras is well known (see [3, Theorem 12.2]). The numerical range of an element F in the bidual of a unital Banach algebra A is the closure of the set of values at F of the w*-continuous states of . As a consequence of the results in this paper the following
Aparicio, C.; Ocaña, F.; Payá, R.; Rodríguez, A. A non-smooth extension of Frechet differentiability of the norm with applications to numerical ranges. Glasgow mathematical journal, Tome 28 (1986) no. 2, pp. 121-137. doi: 10.1017/S0017089500006443
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