Listar Artículos de revista DEIM - EIMS Aldizkari artikuluak por tema "Unconditional basis"
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Asymptotic greediness of the Haar system in the spaces Lp[0 , 1] , 1< p< ∞
Albiac Alesanco, Fernando José
; Ansorena, José L.; Berná, Pablo M. (Springer, 2019)
Artículo / Artikulua 
Our aim in this paper is to attain a sharp asymptotic estimate for the greedy constant Cg[H(p), Lp] of the (normalized) Haar system H(p) in Lp[0 , 1] for 1 < p < ∞. We will show that the super-democracy constant of H(p) ... -
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 ... -
Projections and unconditional bases in direct sums of ℓp SPACES, 0<p≤∞
Albiac Alesanco, Fernando José ; Ansorena, José L. (Wiley, 2021)
Artículo / Artikulua
We show that every unconditional basis in a finite direct sum ⊕p∈Aℓp , with A ⊂ (0,∞], splits into unconditional bases of each summand. This settles a 40 years old question raised in 'A. Ortyński, Unconditional bases in ... -
Unconditional and quasi-greedy bases in L-p with applications to Jacobi polynomials Fourier series
Albiac Alesanco, Fernando José ; Ansorena, José L.; Ciaurri, Óscar; Varona, Juan L. (European Mathematical Society, 2019)
Artículo / Artikulua
We show that the decreasing rearrangement of the Fourier series with respect to the Jacobi polynomials for functions in L-p does not converge unless p = 2. As a by-product of our work on quasi-greedy bases in L-p(µ), we ... -
Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces
Albiac Alesanco, Fernando José ; Ansorena, José L. (Kluwer Academic Publishers, 2022)
Artículo / Artikulua
This paper is devoted to providing a unifying approach to the study of the uniqueness of unconditional bases, up to equivalence and permutation, of infinite direct sums of quasi-Banach spaces. Our new approach to this type ... -
Uniqueness of unconditional basis of ℓ2⊕T(2)
Albiac Alesanco, Fernando José ; Ansorena, José L. (American Mathematical Society, 2022)
Artículo / Artikulua
We provide a new extension of Pitt’s theorem for compact operators between quasi-Banach lattices which permits to describe unconditional bases of finite direct sums of Banach spaces X1 · · · Xn as direct sums of unconditional ...
