Pregled bibliografske jedinice broj: 889791
Spectrum for compact operators on Banach spaces
Spectrum for compact operators on Banach spaces // Journal of the Mathematical Society of Japan, 71 (2019), 1; 1-17 doi:10.2969/jmsj/76447644 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 889791 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Spectrum for compact operators on Banach spaces
Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia.
Izvornik
Journal of the Mathematical Society of Japan (0025-5645) 71
(2019), 1;
1-17
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Compact operators ; Exponential dichotomies ; Spectra
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
Profili:
Davor Dragičević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
