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Extensions and new characterizations of some greedy-type bases

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Publication:2693080
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DOI10.1007/s40840-023-01472-8OpenAlexW4322732372MaRDI QIDQ2693080

Hùng Viẹt Chu, M. Berasategui, Pablo M. Berná

Publication date: 17 March 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.10136


zbMATH Keywords

basesalmost greedypartially greedy


Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)




Cites Work

  • Unnamed Item
  • Characterization of greedy bases in Banach spaces
  • Characterization of 1-almost greedy bases
  • The thresholding greedy algorithm, greedy bases, and duality
  • Equivalence between almost-greedy and semi-greedy bases
  • Strong partially greedy bases and Lebesgue-type inequalities
  • On some characterizations of greedy-type bases
  • Topics in Banach Space Theory
  • Characterizations of almost greedy and partially greedy bases
  • A note on partially-greedy bases in quasi-Banach spaces
  • On the existence of almost greedy bases in Banach spaces
  • Greedy approximation for biorthogonal systems in quasi-Banach spaces
  • Greedy algorithm for general biorthogonal systems
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