Geodesic
Some Remarks on Talenti's Semigroup
Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 147-150

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

Let X be a Banach space. Consider the family I(α) of linear continuous operators from X into itself, depending on the parameter α ≥ 0. Suppose that I(α1+α2)=I(α1)I(α2)∀α1, α2 ≥ 0 and I(0)=I (semigroupal property). Such a semigroup is said to be strongly continuous for α > 0, if limh→0 I(α+h)x =I(α)x, ∀x ∊ X. 
Chrysovergis, A. Some Remarks on Talenti's Semigroup. Canadian mathematical bulletin, Tome 14 (1971) no. 2, pp. 147-150. doi: 10.4153/CMB-1971-027-0
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[1] 1. Talenti, G., Sul Problema di Cauchy Per Le Equazioni A Derivate Parziali, Ann. Mat. Pura Appl. Vol. LXVII, (1965), 365-394. Google Scholar

[2] 2. Hille, Einar and Phillips, Ralph S., Functional analysis and semigroups, Amer. Math. Soc. Colloq. Publ., v. 31. Google Scholar

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