Pregled bibliografske jedinice broj: 754970
Finite extensions of Bessel sequences
Finite extensions of Bessel sequences // Banach journal of mathematical analysis, 9 (2015), 4; 1-13 doi:10.15352/bjma/09-4-1 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 754970 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Finite extensions of Bessel sequences
Autori
Bakić, Damir ; Berić, Tomislav
Izvornik
Banach journal of mathematical analysis (2662-2033) 9
(2015), 4;
1-13
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bessel sequences ; frames ; Parseval frames
Sažetak
The paper studies finite extensions of Bessel sequences in infinitedimensional Hilbert spaces. We provide a characterization of Bessel sequences that can be extended to frames by adding finitely many vectors. We also characterize frames that can be converted to Parseval frames by finite-dimensional perturbations. Finally, some results on excesses of frames and near-Riesz bases are derived.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
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
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
