English

A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive $L^p$-spaces

Functional Analysis 2016-04-11 v1

Abstract

We show that the bilateral shift group on Lp(R)L^p(\mathbb{R}) for p(1,){2}p \in (1, \infty) \setminus \{2\} provides a counterexample to the inverse generator problem.

Keywords

Cite

@article{arxiv.1604.02293,
  title  = {A Short Counterexample to the Inverse Generator Problem on non-Hilbertian Reflexive $L^p$-spaces},
  author = {Stephan Fackler},
  journal= {arXiv preprint arXiv:1604.02293},
  year   = {2016}
}

Comments

6 pages; final version