A New Spectrum for Nonlinear Operators in Banach Spaces

Details A New Spectrum for Nonlinear Operators in Banach Spaces A New Spectrum for Nonlinear Operators in Banach Spaces

2010-05-11

arxiv.org/abs/1005.1819v1

Nonlinear Functional Analysis and Applications Vol. 14, No. 2 (2009), pp. 317-347

Mathematics

Spectral Theory

23 pages, 3 figures

Scientific paper

Given any continuous self-map f of a Banach space E over K (where K is R or C) and given any point p of E, we define a subset sigma(f,p) of K, called spectrum of f at p, which coincides with the usual spectrum sigma(f) of f in the linear case. More generally, we show that sigma(f,p) is always closed and, when f is C^1, coincides with the spectrum sigma(f'(p)) of the Frechet derivative of f at p. Some applications to bifurcation theory are given and some peculiar examples of spectra are provided.

Affiliated with

Also associated with

No associations

Rating

A New Spectrum for Nonlinear Operators in Banach Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A New Spectrum for Nonlinear Operators in Banach Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Spectrum for Nonlinear Operators in Banach Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384592