Geodesic
A Note on Sectorial and R-Sectorial Operators
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 79-85.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

The following results are proved: (i) if $\alpha$, $\beta \in \mathbb{R}^+$ and $A$ is a sectorial operator, then the set $\{t^{\alpha}A^{\beta}(t+A); t>0 \}$ is bounded; (ii) the same set of operators is R-bounded if $A$ is R-sectorial.
Si dimostra che: (i) se $\alpha$, $\beta \in \mathbb{R}^+$ e $A$ è un operatore settoriale, allora l'insieme $\{t^{\alpha}A^{\beta}(t+A); t>0 \}$ è limitato; (ii) che lo stesso insieme di operatori è R-limitato se $A$ è R-settoriale. 
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Venni, Alberto. A Note on Sectorial and R-Sectorial Operators. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 1, pp. 79-85. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_1_a2/

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