TY - JOUR
AU - Cabral, Rodrigo A. H. M.
PY - 2021/08/31
Y2 - 2022/01/23
TI - Strongly elliptic operators and exponentiation of operator Lie algebras
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 127
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-126020
UR - https://www.mscand.dk/article/view/126020
SP - 264-286
AB - <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>
ER -