Pregled bibliografske jedinice broj: 469013
Finite-dimensional Hilbert C*-modules
Finite-dimensional Hilbert C*-modules // Banach journal of mathematical analysis, 4 (2010), 2; 147-157 doi:10.15352/bjma/1297117249 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 469013 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Finite-dimensional Hilbert C*-modules
Autori
Arambašić, Ljiljana ; Bakić, Damir ; Rajić, Rajna
Izvornik
Banach journal of mathematical analysis (2662-2033) 4
(2010), 2;
147-157
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
C*-algebra ; Hilbert C*-module ; (weakly) compact operators ; finite-dimensional C*-algebra ; finite-dimensional C*-module
Sažetak
In this paper we obtain a characterization of finite-dimensional Hilbert C*-modules. It is known that those are the modules for which both underlying C*-algebras are finite-dimensional. We show that such modules can be described by a certain property of bounded sequences of their elements. It turns out that similar property leads to another characterization of Hilbert C*-modules over C*-algebras of compact operators.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372784-2753 - Hilbertovi C*-moduli (Guljaš, Boris, MZOS ) ( CroRIS)
MZOS-037-0372784-2755 - Ortonormirani valići i generalizirane multirezolucijske analize (Bakić, Damir, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb
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
