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Pregled bibliografske jedinice broj: 965422

On approximately dual frames for Hilbert C*-modules


Arambašić, Ljiljana
On approximately dual frames for Hilbert C*-modules // Filomat, 33 (2019), 12; 3869-3875 doi:10.2298/FIL1912869A (međunarodna recenzija, članak, znanstveni)


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Naslov
On approximately dual frames for Hilbert C*-modules

Autori
Arambašić, Ljiljana

Izvornik
Filomat (0354-5180) 33 (2019), 12; 3869-3875

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
C*-algebra ; Hilbert C*-module ; frame ; outer frame ; dual frame ; approximately dual frame

Sažetak
In this paper we discuss approximately dual frames for a frame or an outer frame of a Hilbert C*-module. We show that every frame or an outer frame, up to a scalar multiple, is approximately dual to itself. This enables us to get a canonical dual frame of a given frame as a limit of approximately dual frames defined by the initial frame.

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

Profili:

Avatar Url Ljiljana Arambašić (autor)

Poveznice na cjeloviti tekst rada:

doi www.pmf.ni.ac.rs doi.org

Citiraj ovu publikaciju:

Arambašić, Ljiljana
On approximately dual frames for Hilbert C*-modules // Filomat, 33 (2019), 12; 3869-3875 doi:10.2298/FIL1912869A (međunarodna recenzija, članak, znanstveni)
Arambašić, L. (2019) On approximately dual frames for Hilbert C*-modules. Filomat, 33 (12), 3869-3875 doi:10.2298/FIL1912869A.
@article{article, author = {Aramba\v{s}i\'{c}, Ljiljana}, year = {2019}, pages = {3869-3875}, DOI = {10.2298/FIL1912869A}, keywords = {C\ast-algebra, Hilbert C\ast-module, frame, outer frame, dual frame, approximately dual frame}, journal = {Filomat}, doi = {10.2298/FIL1912869A}, volume = {33}, number = {12}, issn = {0354-5180}, title = {On approximately dual frames for Hilbert C\ast-modules}, keyword = {C\ast-algebra, Hilbert C\ast-module, frame, outer frame, dual frame, approximately dual frame} }
@article{article, author = {Aramba\v{s}i\'{c}, Ljiljana}, year = {2019}, pages = {3869-3875}, DOI = {10.2298/FIL1912869A}, keywords = {C\ast-algebra, Hilbert C\ast-module, frame, outer frame, dual frame, approximately dual frame}, journal = {Filomat}, doi = {10.2298/FIL1912869A}, volume = {33}, number = {12}, issn = {0354-5180}, title = {On approximately dual frames for Hilbert C\ast-modules}, keyword = {C\ast-algebra, Hilbert C\ast-module, frame, outer frame, dual frame, approximately dual frame} }

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


Citati:





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