@article{GerlachGlueck2019,
  author    = {Gerlach, Moritz Reinhardt and Gl{\"u}ck, Jochen},
  title     = {Mean ergodicity vs weak almost periodicity},
  series = {Studia mathematica},
  volume    = {248},
  journal   = {Studia mathematica},
  number    = {1},
  publisher = {Polska Akademia Nauk, Instytut Matematyczny},
  address   = {Warszawa},
  issn      = {0039-3223},
  doi       = {10.4064/sm170918-20-3},
  pages     = {45 -- 56},
  year      = {2019},
  abstract  = {We provide explicit examples of positive and power-bounded operators on c(0) and l(infinity) which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and power-bounded mean ergodic operator is weakly almost periodic is necessarily a KB-space. This answers several open questions from the literature. Finally, we prove that if T is a positive mean ergodic operator with zero fixed space on an arbitrary Banach lattice, then so is every power of T .},
  language  = {en}
}