MATHEMATICA BOHEMICA, Vol. 124, No. 2–3, pp. 221-229 (1999)

Ein "merkwürdiges" Spektrum für nichtlineare Operatoren

J. Appell

Jürgen Appell, Universität Würzburg, Mathematisches Institut, Am Hubland, D-97074 Würzburg, Germany, e-mail: appell@mathematik.uni-wuerzburg.de

Abstract: 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.

Keywords: nonlinear operator, Lipschitz continuity, pseudo-adjoint operator, resolvent set, spectrum, eigenvalue

Classification (MSC2000): 47H12, 47H09, 47H17, 47A10, 47A25, 47C99

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