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

Published 29 Mar 2016 in math.FA | (1603.08862v2)

Abstract: A result by Liskevich and Perelmuter from 1995 yields the optimal angle of analyticity for symmetric submarkovian semigroups on $L_p$, $1<p<\infty$. 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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