Spectrum for compact operators on Banach spaces (CROSBI ID 241777)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia.
engleski
Spectrum for compact operators on Banach spaces
For a two-sided sequence of compact linear operators acting on a Banach space, we consider the notion of spectrum defined in terms of the existence of exponential dichotomies under homotheties of the dynamics. This can be seen as a natural generalization of the spectrum of a matrix—the set of its eigenvalues. We give a characterization of all possible spectra and explicit examples of sequences for which the spectrum takes a form not occurring in finite- dimensional spaces. We also consider the case of a one-sided sequence of compact linear operators.
Compact operators ; Exponential dichotomies ; Spectra
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Podaci o izdanju
71 (1)
2019.
1-17
objavljeno
0025-5645
10.2969/jmsj/76447644