Pregled bibliografske jedinice broj: 704652
Operator version of the best approximation problem in Hilbert C*-modules
Operator version of the best approximation problem in Hilbert C*-modules // Journal of mathematical analysis and applications, 413 (2014), 1; 311-320 doi:10.1016/j.jmaa.2013.11.058 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 704652 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Operator version of the best approximation problem in Hilbert C*-modules
Autori
Arambašić, Ljiljana ; Rajić, Rajna
Izvornik
Journal of mathematical analysis and applications (0022-247X) 413
(2014), 1;
311-320
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
C*-algebra ; Hilbert C*-module ; Best approximation ; Closed range operator
Sažetak
Let V⊆B(H, K) be a Hilbert C*-module over a C*- algebra A⊆B(H), and X, Y∈V. In this paper we study a problem of finding A∈B(H) such that |X+YB|- |X+YA| is a positive element in A for all B∈A. We show that such an operator exists if and only if the range of Y*X is contained in the range of Y*Y, and in this case it can be chosen to belong to A″. We also consider Hilbert C*-modules in which for every X and Y there is (a unique) A with the above property.
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
