Pregled bibliografske jedinice broj: 889790
Nonuniform spectrum on Banach spaces
Nonuniform spectrum on Banach spaces // Equadiff 2017
Bratislava, Slovačka, 2017. (pozvano predavanje, nije recenziran, sažetak, ostalo)
CROSBI ID: 889790 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Nonuniform spectrum on Banach spaces
Autori
Dragičević, Davor
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo
Skup
Equadiff 2017
Mjesto i datum
Bratislava, Slovačka, 24.07.2017. - 28.07.2017
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
nonuniform spectrum, Lyapunov exponents
Sažetak
For a sequence of bounded linear operators acting on a Banach space, we consider the notion of nonuniform spectrum. This is defined in terms of the existence of nonuniform expo- nential dichotomies with an arbitrarily small nonuniform part and can be seen as a nonuniform version of the spectrum introduced by Sacker and Sell in the case of a single trajectory, al- though now in the infinite-dimensional setting. We will present complete characterization of all possible forms of the nonuniform spectrum for sequences of bounded linear operators satisfying a certain asymptotic compactness. Furthermore, we will discuss the relationship between nonuniform spectrum and the theory of Lyapunov exponents.
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)
Profili:
Davor Dragičević
(autor)
