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Regularität in der nichtlinearen Spektraltheorie

Published online by Cambridge University Press:  14 November 2011

Jürgen Weyer
Jürgen Weyer
Affiliation:
Mathematisches Institut der Universität zu Köln, West Germany
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Synopsis

A non-linear spectral theory is developed which includes the spectral theory of linear operators and the theory of (maximal) monotone operators. In this nonlinear theory certain polytone operators will play the role of the linear or monotone operators. The concept of λ-polytonicity allows the characterization of regular points in terms of maximality. Furthermore, properties of the spectrum of non-linear operators are discussed in terms of the corresponding properties of their linearizations and vice versa.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 83 , Issue 1-2 , 1979 , pp. 81 - 91
Copyright
Copyright © Royal Society of Edinburgh 1979

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