Pregled bibliografske jedinice broj: 1103712
Frames and outer frames in Hilbert C*-modules
Frames and outer frames in Hilbert C*-modules // 6th Croatian Mathematical Congress
Zagreb, Hrvatska, 2016. str. 1-1 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1103712 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Frames and outer frames in Hilbert
C*-modules
Autori
Arambašić, Ljiljana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Skup
6th Croatian Mathematical Congress
Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Hilbert C*-module ; multiplier module ; frames ; outer frames
Sažetak
In this talk we present some new results in the theory of frames for countably generated Hilbert C*-modules over arbitrary C*-algebras. In investigating the non-unital case we introduce the concept of an outer frame as a sequence in the multiplier module M(X) that has the standard frame property when applied to elements of the ambient module X. Given a Hilbert A-module X, we show that there is a bijective correspondence of the set of all adjointable surjections from the generalized Hilbert space ℓ2(A) to X and the set consisting of all both frames and outer frames for X. The presentation is based on 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)
