WIAS Preprint No. 2667, (2019)

On the numerical range of sectorial forms


Authors

  • ter Elst, A.F. M.
  • Linke, Alexander
    ORCID: 0000-0002-0165-2698
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 47A12 47B44 47A60

Keywords

  • Numerical range, sectorial form, H∞-angle

DOI

10.20347/WIAS.PREPRINT.2667

Abstract

We provide a sharp and optimal generic bound for the angle of the sectorial form associated to a non-symmetric second-order elliptic differential operator with various boundary conditions. Consequently this gives an, in general, sharper H∞-angle for the H∞-calculus on Lp for all p ∈ (1, ∞) if the coefficients are real valued.

Appeared in

  • Pure Appl. Funct. Anal., 7 (2022), pp. 1931--1940.

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