English

Contractions, Cogenerators, and Weak Stability

Functional Analysis 2020-05-11 v1 Dynamical Systems

Abstract

A contraction semigroup T on a Hilbert space H and its cogenerator S define an algebra, the limit algebra - which determines the structure of the subspace of weakly Poisson recurrent vectors and gives a necessary and sufficient condition for T and S to be weakly stable equivalent.

Keywords

Cite

@article{arxiv.2005.03821,
  title  = {Contractions, Cogenerators, and Weak Stability},
  author = {Robert E. O'Brien},
  journal= {arXiv preprint arXiv:2005.03821},
  year   = {2020}
}
R2 v1 2026-06-23T15:23:51.175Z