Pregled bibliografske jedinice broj: 651037
Reverse Cauchy-Schwarz type inequalities in pre- inner product C*-modules
Reverse Cauchy-Schwarz type inequalities in pre- inner product C*-modules // Hokkaido Mathematical Journal, 40 (2011), 3; 393-409 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 651037 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Reverse Cauchy-Schwarz type inequalities in pre- inner product C*-modules
Autori
Fujii, Jun-Ichi ; Fujii, Masatoshi ; Moslehian, Mohammad Sal ; Pečarić, Josip ; Seo, Yuki
Izvornik
Hokkaido Mathematical Journal (0385-4035) 40
(2011), 3;
393-409
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
C*-algebra; reverse Cauchy-Schwarz inequality; pre-inner product C*-module; Cassels' inequality; operator geometric mean; operator inequality
Sažetak
In the framework of a pre-inner product C*-module over a unital C*-algebra, we show several reverse Cauchy-Schwarz type inequalities of additive and multiplicative types, by using some ideas in N. Elezović et al. [Math. Inequal. Appl., 8 (2005), no.2, 223-231]. We apply our results to give Klamkin-Mclenaghan, Shisha-Mond and Cassels type inequalities. We also present a Grüss type inequality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Josip Pečarić
(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
