@article{Cabral_2021, title={Strongly elliptic operators and exponentiation of operator Lie algebras}, volume={127}, url={https://www.mscand.dk/article/view/126020}, DOI={10.7146/math.scand.a-126020}, abstractNote={<p>An intriguing feature which is often present in theorems regarding<br>the exponentiation of Lie algebras of unbounded linear operators on<br>Banach spaces is the assumption of hypotheses on the Laplacian<br>operator associated with a basis of the operator Lie algebra.<br>The main objective of this work is to show that one can substitute<br>the Laplacian by an arbitrary operator in the enveloping algebra and<br>still obtain exponentiation, as long as its closure generates a<br>strongly continuous one-parameter semigroup satisfying certain norm<br>estimates, which are typical in the theory of strongly elliptic<br>operators.</p>}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Cabral, Rodrigo A. H. M.}, year={2021}, month={Aug.}, pages={264–286} }