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

preprint2016arXivOpen access

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.

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