Ein “merkwürdiges” Spektrum für nichtlineare Operatoren (A “strange” spectrum for nonlinear operators). (German) Zbl 0940.47053
Summary: We define a spectrum for Lipschitz continuous nonlinear operators in Banach spaces by means of a certain kind of “pseudo-adjoint” and study some of its properties e.g.the generalized spectral radius.
MSC:
| 47J10 | Nonlinear spectral theory, nonlinear eigenvalue problems |
| 47J25 | Iterative procedures involving nonlinear operators |
| 47A10 | Spectrum, resolvent |
| 47A25 | Spectral sets of linear operators |
| 47C99 | Individual linear operators as elements of algebraic systems |
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
