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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.
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