Pregled bibliografske jedinice broj: 495865
Derivations which are inner as completely bounded maps
Derivations which are inner as completely bounded maps // Operators and Matrices, 4 (2010), 2; 193-211 doi:10.7153/oam-04-09 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 495865 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Derivations which are inner as completely bounded maps
Autori
Gogić, Ilja
Izvornik
Operators and Matrices (1846-3886) 4
(2010), 2;
193-211
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
C*-algebra ; ideals ; quasicentral ; central ; derivation ; completely bounded map
Sažetak
We consider derivations in the image of the canonical contraction from the Haagerup tensor product of a C*-algebra A with itself to the space of completely bounded maps on A. We show that such derivations are necessarily inner if A is prime or if A is central. We also provide an example of a C*-algebra which has an outer derivation implemented by an elementary operator.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Article number 04-09
POVEZANOST RADA
Projekti:
MZOS-037-0372784-2753 - Hilbertovi C*-moduli (Guljaš, Boris, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ilja Gogić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
