A remark on the growth rate of operator semigroups under resolvent bounds
Functional Analysis
2025-05-20 v1
Abstract
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-linear resolvent growths, our estimate is sharper than the ones currently available in the literature.
Keywords
Cite
@article{arxiv.2505.12807,
title = {A remark on the growth rate of operator semigroups under resolvent bounds},
author = {Filippo Dell'Oro},
journal= {arXiv preprint arXiv:2505.12807},
year = {2025}
}