English

On the numerical range of generators of symmetric $L_\infty$-contractive semigroups

Functional Analysis 2016-08-12 v2

Abstract

A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on LpL_p, 1<p<1<p<\infty. C.~Kriegler showed in 2011 that the result remains true without the assumption of positivity of the semigroup. Here we give an elementary proof of Kriegler's result.

Keywords

Cite

@article{arxiv.1603.08862,
  title  = {On the numerical range of generators of symmetric $L_\infty$-contractive semigroups},
  author = {Markus Haase and Peer Christian Kunstmann and Hendrik Vogt},
  journal= {arXiv preprint arXiv:1603.08862},
  year   = {2016}
}