A Note on Sectorial and R-Sectorial Operators
Venni, Alberto
Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 79-85 / Harvested from Biblioteca Digitale Italiana di Matematica
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The following results are proved: (i) if α, β∈ℝ+ and A is a sectorial operator, then the set {tα⁢Aβ⁢(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 α, β∈ℝ+ e A è un operatore settoriale, allora l'insieme {tα⁢Aβ⁢(t+A);t>0} è limitato; (ii) che lo stesso insieme di operatori è R-limitato se A è R-settoriale.

Publié le : 2008-02-01
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     author = {Alberto Venni},
     title = {A Note on Sectorial and R-Sectorial Operators},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1},
     year = {2008},
     pages = {79-85},
     zbl = {1164.47041},
     mrnumber = {2387998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_1_79_0}
}

Venni, Alberto. A Note on Sectorial and R-Sectorial Operators. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 79-85. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_1_79_0/

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