Pregled bibliografske jedinice broj: 612921
The Birkhoff–James orthogonality in Hilbert C*- modules
The Birkhoff–James orthogonality in Hilbert C*- modules // Linear algebra and its applications, 437 (2012), 7; 1913-1929 doi:10.1016/j.laa.2012.05.011 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 612921 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Birkhoff–James orthogonality in Hilbert C*- modules
Autori
Arambašić, Ljiljana ; Rajić, Rajna
Izvornik
Linear algebra and its applications (0024-3795) 437
(2012), 7;
1913-1929
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Birkhoff-James orthogonality ; C*-algebra ; Hilbert C*-module ; Triangle inequality ; State
Sažetak
In this paper we characterize the Birkhoff–James orthogonality for elements of a Hilbert C*-module in terms of states of the underlying C*-algebra. We also show that the Birkhoff–James orthogonality in a Hilbert C*-module over a C*-algebra A and orthogonality with respect to the A-valued inner product coincide if and only if A is isomorphic to C. In addition, some new results concerning the case of equality in the triangle inequality for elements of a Hilbert C*-module are obtained.
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
