Pregled bibliografske jedinice broj: 1103879
Isometries with finite spectrum on continuous functions
Isometries with finite spectrum on continuous functions // Workshop on Operator Theory, Complex Analysis, and Applications / WOTCA 2017
Lisabon, Portugal, 2017. str. 14-14 (pozvano predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 1103879 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Isometries with finite spectrum on continuous
functions
Autori
Ilišević, Dijana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Workshop on Operator Theory, Complex Analysis, and Applications / WOTCA 2017
Mjesto i datum
Lisabon, Portugal, 03.07.2017. - 06.07.2017
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
isometry ; projection ; spectrum ; continuous functions
Sažetak
In this talk we will describe the spectrum of surjective linear isometries on the Banach space of all continuous complex-valued functions on a connected locally compact Hausdorff space, vanishing at infinity. By the Banach-Stone theorem, surjective linear isometries on this space are weighted composition operators. In particular, the cases when the spectrum of a weighted composition operator consists of 2, 3, 4, or 5 elements will be completely described.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-1046 - Operatori na C*-algebrama i Hilbertovim modulima (OCAHM) (Bakić, Damir, HRZZ - 2016-06) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Dijana Ilišević
(autor)
