Pregled bibliografske jedinice broj: 211274
Irreducible representations of Hilbert C*-modules
Irreducible representations of Hilbert C*-modules // Mathematical proceedings of the Royal Irish Academy, 105A (2005), 2; 11-24 (međunarodna recenzija, članak, znanstveni)
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Naslov
Irreducible representations of Hilbert C*-modules
Autori
Arambašić, Ljiljana
Izvornik
Mathematical proceedings of the Royal Irish Academy (1393-7197) 105A
(2005), 2;
11-24
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Hilbert C*-module ; representation ; irreducible
Sažetak
The subject of the paper is representations of Hilbert C*-modules. We introduce the concept of a nondegenerate, irreducible and cyclic representation and the cornmutant of a Hilbert C*-module. Relations between representations of a Hilbert C*-module, its linking algebra and underlying C*-algebras are discussed. We also study Hilbert CCR-and GCR-modules and extend some results from CCR-and GCR algebras. The results we obtain are similar to the results known for C*-algebras.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
0037106
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ljiljana Arambašić
(autor)
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
