The purpose of this note is to define a numerical range for nonlinear operators in smooth Banach spaces and to use this numerical range to localize certain spectral sets of Lipschitz continuous operators.
Cite this article
M. Dörfner, A Numerical Range for Nonlinear Operators in Smooth Banach Spaces. Z. Anal. Anwend. 15 (1996), no. 2, pp. 445–456DOI 10.4171/ZAA/709