Pregled bibliografske jedinice broj: 101638
Molnar-dependence in a pre-Hilbert module over an H*-algebra
Molnar-dependence in a pre-Hilbert module over an H*-algebra // Acta mathematica Hungarica, 101 (2003), 1-2; 69-78 doi:10.1023/B:AMHU.0000003892.02461.7f (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 101638 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Molnar-dependence in a pre-Hilbert module over an H*-algebra
Autori
Ilišević, Dijana
Izvornik
Acta mathematica Hungarica (0236-5294) 101
(2003), 1-2;
69-78
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
H*-algebra ; Hilbert module ; strong Cauchy-Schwarz inequality ; Molnar-dependence
Sažetak
Molnar-dependence is related to the strong Cauchy-Schwarz inequality in a pre-Hilbert module over an H*-algbera analogously as the linear dependence is related to the Cauchy-Schwarz inequality in a pre-Hilbert space. Necessary and sufficient conditions for two elements of a pre-Hilbert module to be Molnar-dependent are established in this article, what is enabled by proving a stronger inequality than the strong Cauchy-Schwarz one. Furthermore, it is shown that Molnar-dependence is a transitive relation.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Dijana Ilišević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- 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
