Pregled bibliografske jedinice broj: 955905
Mappings preserving different types of orthogonality on B(H)
Mappings preserving different types of orthogonality on B(H) // European Women in Mathematics
Graz, Austrija, 2018. (poster, međunarodna recenzija, ostalo, znanstveni)
CROSBI ID: 955905 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Mappings preserving different types of orthogonality on B(H)
Autori
Arambašić, Ljiljana ; Rajić, Rajna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, ostalo, znanstveni
Izvornik
European Women in Mathematics
/ - , 2018
Skup
EWM General Meeting 2018
Mjesto i datum
Graz, Austrija, 03.09.2018. - 07.09.2018
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Birkhoff-James orthogonality ; strong Birkhoff-James orthogonality ; Roberts orthogonality ; linear preserver ; rank-one operators
Sažetak
Let B(H) be the algebra of all bounded linear operators acting on a complex Hilbert space H. Linear preserver problems on B(H) concern the characterizations of all linear mappings on B(H) that leave certain functions, subsets, relations, etc. invariant We characterize the class of surjective (conjugate) linear mappings on B(H) that preserve the (strong) Birkhoff-James orthogonality in both directions. We also describe mappings on B(H) preserving the orthogonality of ranges of Hilbert space operators in terms of the Roberts orthogonality.
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,
Rudarsko-geološko-naftni fakultet, Zagreb
