@article{EdekoGerlachKuehner2019,
  author    = {Edeko, Nikolai and Gerlach, Moritz Reinhardt and K{\"u}hner, Viktoria},
  title     = {Measure-preserving semiflows and one-parameter Koopman semigroups},
  series = {Semigroup forum},
  volume    = {98},
  journal   = {Semigroup forum},
  number    = {1},
  publisher = {Springer},
  address   = {New York},
  issn      = {0037-1912},
  doi       = {10.1007/s00233-018-9960-3},
  pages     = {48 -- 63},
  year      = {2019},
  abstract  = {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.},
  language  = {en}
}