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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Haase, M., Kunstmann, P.C. & Vogt, H. On the numerical range of generators of symmetric \({L_{\infty}}\)-contractive semigroups. Arch. Math. 107, 553–559 (2016). https://doi.org/10.1007/s00013-016-0945-8
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DOI: https://doi.org/10.1007/s00013-016-0945-8