Displaying similar documents to “Description of the structure of singular spectrum for Friedrichs model operators near singular point.”

A la recherche du spectre perdu: An invitation to nonlinear spectral theory

Appell, Jürgen

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We give a survey on spectra for various classes of nonlinear operators, with a particular emphasis on a comparison of their advantages and drawbacks. Here the most useful spectra are the asymptotic spectrum by M. Furi, M. Martelli and A. Vignoli (1978), the global spectrum by W. Feng (1997), and the local spectrum (called “phantom”) by P. Santucci and M. Väth (2000). In the last part we discuss these spectra for homogeneous operators (of any degree), and derive a discreteness result...