Pregled bibliografske jedinice broj: 1103686
Synthesis operators of frames in Hilbert C*-modules
Synthesis operators of frames in Hilbert C*-modules // Operator Theory 27
Temišvar, Rumunjska, 2018. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1103686 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Synthesis operators of frames in Hilbert C*-modules
Autori
Arambašić, Ljiljana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
Operator Theory 27
Mjesto i datum
Temišvar, Rumunjska, 02.07.2018. - 07.07.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
synthesis operator ; frames ; C*-algebra ; Hilbert C*-module
Sažetak
Let (x_n) be a frame for a Hilbert a-module X. Its synthesis operator is a surjective adjointable map from \ell^2(a) to X. If a is a unital C*-algebra, then there is a bijective correspondence of the set of all adjointable surjections from \ell^2(A) to X and the set of all frames for X. In the non-unital case this does not hold ; namely, some adjointable surjections from \ell^2(A) to X are not synthesis operators of any frame for X. However, it turns out that such operators produce frame-like sequences that we call outer frames for X. This is a joint work with Damir Bakić.
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:
Ljiljana Arambašić
(autor)
