Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 46 min ago
PreprintarXiv licencearXiv

A semi-greedy Markushevich basis which is not quasi-greedy

  • Pablo M. Berná
Open at sourcePDFDOICite

Abstract

We construct a quasi-Banach space with a semi-greedy Markushevich basis which is not quasi-greedy, and hence not almost greedy. This gives a negative answer to the question of whether the equivalence between semi-greediness and almost greediness for Markushevich bases in Banach spaces extends to the general quasi-Banach setting.

Related

  1. Greedy sampling designs via reduced basis methods: optimal recovery in the uniform norm
    Sebastian Neumayer, Kateryna Pozharska, Tino Ullrich
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  2. Quasi-exponentials and semi-classical limits for the chordal BPZ system
    Mo Chen, Hao Wu
    arXivPreprintarXiv licenceFull textMathematical physicsProbabilityarXiv
  3. Microlocal Arthur packets as a quasi-canonical basis of stable distributions
    Dan Ciubotaru, Emile Okada
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. Thermodynamic Formalism Out of Equilibrium Part II: Semi-Ruelle Operator, Conformal Measures, and Effective Expansion and Quasi-Compactness
    Snir Ben Ovadia
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv
  5. Markman--Markushevich principle and Lagrangian fibrations on O'Grady six-manifolds
    Rodion Déev
    arXivPreprintCC BY-NC-SA 4.0Full textAlgebra & number theoryAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{berna2026semigreedy,
  title = {{A semi-greedy Markushevich basis which is not quasi-greedy}},
  author = {Pablo M. Berná},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05052},
  eprint = {2610.05052},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05052},
}
RIS
TY  - UNPB
TI  - A semi-greedy Markushevich basis which is not quasi-greedy
AU  - Pablo M. Berná
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05052
UR  - https://arxiv.org/abs/2610.05052
AB  - We construct a quasi-Banach space with a semi-greedy Markushevich basis which is not quasi-greedy, and hence not almost greedy. This gives a negative answer to the question of whether the equivalence between semi-greediness and almost greediness for Markushevich bases in Banach spaces extends to the general quasi-Banach setting.
ER  -