Listar Artículos de revista DEIM - EIMS Aldizkari artikuluak por tema "Quasi-Banach spaces"
Mostrando ítems 1-4 de 4
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Democracy of quasi-greedy bases in p-Banach spaces with applications to the efficiency of the thresholding greedy algorithm in the hardy spaces Hp(Dd)
Albiac Alesanco, Fernando José
; Ansorena, José L.; Bello, Glenier (Cambridge University Press, 2023)
Artículo / Artikulua 
We use new methods, specific for non-locally convex quasi-Banach spaces, to investigate when the quasi-greedy bases of a -Banach space for 0 < p < p are democratic. The novel techniques we obtain permit to show in particular ... -
Greedy approximation for biorthogonal systems in quasi-Banach spaces
Albiac Alesanco, Fernando José ; Ansorena, José L.; Berná, Pablo M.; Wojtaszczyk, Przemyslaw (Instytut Matematyczny, 2021)
Artículo / Artikulua
The general problem addressed in this work is the development of a systematic study of the thresholding greedy algorithm for general biorthogonal systems in quasi-Banach spaces from a functional-analytic point of view. If ... -
On the permutative equivalence of squares of unconditional bases
Albiac Alesanco, Fernando José ; Ansorena, José L. (Elsevier, 2022)
Artículo / Artikulua
We prove that if the squares of two unconditional bases are equivalent up to a permutation, then the bases themselves are permutatively equivalent. This settles a twenty-five year-old question raised by Casazza and Kalton ... -
Quasi-greedy bases in ℓp (0 < p < 1) are democratic
Albiac Alesanco, Fernando José ; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Elsevier, 2020)
Artículo / Artikulua
The list of known Banach spaces whose linear geometry determines the (nonlinear) democracy functions of their quasi-greedy bases to the extent that they end up being democratic, reduces to c0, ℓ2, and all separable L1-spaces. ...
