TY  - JOUR
A1  - Edeko, Nikolai
A1  - Gerlach, Moritz Reinhardt
A1  - Kühner, Viktoria
T1  - Measure-preserving semiflows and one-parameter Koopman semigroups
JF  - Semigroup forum
N2  - For a finite measure space X, we characterize strongly continuous Markov lattice semigroups on Lp(X) by showing that their generator A acts as a derivation on the dense subspace D(A)L(X). We then use this to characterize Koopman semigroups on Lp(X) if X is a standard probability space. In addition, we show that every measurable and measure-preserving flow on a standard probability space is isomorphic to a continuous flow on a compact Borel probability space.
KW  - Measure-preserving semiflow
KW  - Koopman semigroup
KW  - Derivation
KW  - Topological model
Y1  - 2019
U6  - https://doi.org/10.1007/s00233-018-9960-3
SN  - 0037-1912
SN  - 1432-2137
VL  - 98
IS  - 1
SP  - 48
EP  - 63
PB  - Springer
CY  - New York
ER  -