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A note on partially-greedy bases in quasi-Banach spaces

Volume 259 / 2021

Pablo M. Berná Studia Mathematica 259 (2021), 225-239 MSC: 46B15, 41A65. DOI: 10.4064/sm200402-20-8 Published online: 7 January 2021


We continue the study of greedy-type bases in quasi-Banach spaces started by Albiac et al. [arXiv:1903.11651]. In the present paper, we study partially-greedy bases, focusing on two main results:

$\bullet$ Characterization of partially-greedy bases in quasi-Banach spaces in terms of quasi-greediness and various conservative-like properties.

$\bullet$ Given a $C$-partially-greedy basis in a quasi-Banach space, there exists a “renorming” such that the basis is $1$-partially-greedy.


  • Pablo M. BernáDepartamento de Matemática Aplicada y Estadística
    Facultad de Ciencias Económicas y Empresariales
    Universidad San Pablo-CEU, CEU Universities
    28003 Madrid, Spain

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