Pregled bibliografske jedinice broj: 1090514
Orthograph related to mutual strong Birkhoff-James orthogonality in C*-algebras
Orthograph related to mutual strong Birkhoff-James orthogonality in C*-algebras // Banach journal of mathematical analysis, 14 (2020), 4; 1751-1772 doi:10.1007/s43037-020-00074-x (međunarodna recenzija, članak, znanstveni)
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Naslov
Orthograph related to mutual strong Birkhoff-James
orthogonality in C*-algebras
Autori
Arambašić, Ljiljana ; Guterman, Alexander ; Kuzma, Bojan ; Rajić, Rajna ; Zhilina, Svetlana
Izvornik
Banach journal of mathematical analysis (2662-2033) 14
(2020), 4;
1751-1772
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
(strong) Birkhoff–James orthogonality ; C*-algebra ; Graph · Diameter ; Right invertible element
Sažetak
We study the relation of mutual strong Birkhoff- James orthogonality in two classical C*-algebras: the C*-algebra B(H) of all bounded linear operators on a complex Hilbert space H and the commutative, possibly nonunital, C*-algebra. With the help of the induced graph it is shown that this relation alone can characterize right invertible elements. Moreover, in the case of commutative unital C*-algebras, it can detect the existence of a point with a countable local basis in the corresponding compact Hausdorff space.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-1046 - Operatori na C*-algebrama i Hilbertovim modulima (OCAHM) (Bakić, Damir, HRZZ - 2016-06) ( 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
