32 citations · 45 across the 14 of their papers we have counts for
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math.FA2026
Unified growth rates for operator semigroups under generalized Kreiss conditions
Filippo Dell'Oro, Alberto Farina, Vittorino Pata
In this note we establish a unified growth rate for the operator norm of -semigroups on Hilbert spaces whose generators satisfy the generalized Kreiss resolvent condition. Our…
math.FA2025
A remark on the growth rate of operator semigroups under resolvent bounds
Filippo Dell'Oro
We provide a growth bound for the operator norm of -semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super…
math.FA2022★ 3 cited
A short elementary proof of the Gearhart-Prüss theorem for bounded semigroups
Filippo Dell'Oro, David Seifert
We present a short elementary proof of the Gearhart-Prüss theorem for bounded -semigroups on Hilbert spaces.