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Spectrum for compact operators on Banach spaces (CROSBI ID 241777)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Barreira, Luis ; Dragičević, Davor ; Valls, Claudia. Spectrum for compact operators on Banach spaces // Journal of the Mathematical Society of Japan, 71 (2019), 1; 1-17. doi: 10.2969/jmsj/76447644

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

Povezanost rada

Matematika

Poveznice
Indeksiranost