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Zbl 1134.47308
Catană, Petronela
Different spectra for nonlinear operators. (English)
[J] An. Ştiinţ. Univ. ``Ovidius" Constanţa, Ser. Mat. 13, No. 1, 5-14 (2005). ISSN 1223-723X; ISSN 1224-1784/e

Summary: We approach the spectra for nonlinear operators and we show that the Neuberger spectrum is always nonempty in complex Banach spaces and may be unbounded or not closed; the Kachurovskij spectrum is always compact; the Rhodius and Dörfner spectra aren't necessary to be bounded or closed; the FMV-spectrum and the Feng spectrum are always closed but may be unbounded.
MSC 2000:
*47H99 Nonlinear operators

Keywords: nonlinear operator; resolvent set; spectrum; resolvent operator; spectral radius

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