Listar Artículos de revista INAMAT2 - INAMAT2 aldizkari artikuluak por autor "Wojtaszczyk, Przemyslaw"
Mostrando ítems 1-6 de 6
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Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including besov spaces
Albiac Alesanco, Fernando José
; Ansorena, José L.; Bello, Glenier; Wojtaszczyk, Przemyslaw (Springer, 2023)
Artículo / Artikulua 
We prove that the sequence spaces lp ⊕ lq and the spaces of infinite matrices lp(lq ), lq l(p) and ( ∞ n=1 n lp)lq , which are isomorphic to certain Besov spaces, have an almost greedy basis whenever 0 < p < 1 < q < ∞. ... -
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 a 'philosophical' question about Banach envelopes
Albiac Alesanco, Fernando José ; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2021)
Artículo / Artikulua
We show how to construct non-locally convex quasi-Banach spaces X whose dual separates the points of a dense subspace of X but does not separate the points of X. Our examples connect with a question raised by Pietsch (Rev ... -
On certain subspaces of p for 0 < p ≤ 1 and their applications to conditional quasi-greedy bases in p-Banach spaces
Albiac Alesanco, Fernando José ; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2021)
Artículo / Artikulua
We construct for each 0<p≤1 an infinite collection of subspaces of ℓp that extend the example of Lindenstrauss (Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 12, 539–542, 1964) of a subspace of ℓ1 with no ... -
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. ... -
Uniqueness of unconditional basis of Hp(T) ⊕ 2 and Hp(T) ⊕ T (2) for 0 < p < 1
Albiac Alesanco, Fernando José ; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Elsevier, 2022)
Artículo / Artikulua
Our goal in this paper is to advance the state of the art of the topic of uniqueness of unconditional basis. To that end we establish general conditions on a pair (X, Y) formed by a quasi-Banach space X and a Banach ...
