Now showing items 1-20 of 30

    • Addendum to "uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces" 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L. (Springer, 2022)   Artículo / Artikulua  OpenAccess
      After [Uniqueness of unconditional basis of infinite direct sums of quasi-Banach spaces, Positivity 26 (2022), Paper no. 35] was published, we realized that Theorem 4.2 therein, when combined with work of Casazza and Kalton ...
    • Asymptotic greediness of the Haar system in the spaces Lp[0 , 1] , 1< p< ∞ 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Berná, Pablo M. (Springer, 2019)   Artículo / Artikulua  OpenAccess
      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) ...
    • Bidemocratic bases and their connections with other greedy-type bases 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Berasategui, Miguel; Berná, Pablo M.; Lassalle, Silvia (Springer, 2023)   Artículo / Artikulua  OpenAccess
      In nonlinear greedy approximation theory, bidemocratic bases have traditionally played the role of dualizing democratic, greedy, quasi-greedy, or almost greedy bases. In this article we shift the viewpoint and study them ...
    • Building highly conditional almost greedy and quasi-greedy bases in Banach spaces 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Dilworth, S. J.; Kutzarova, Denka (Elsevier, 2019)   Artículo / Artikulua  OpenAccess
      It is known that for a conditional quasi-greedy basis B in a Banach space X, the associated sequence (k(m)[B](m=1)(infinity) of its conditionality constants verifies the estimate k(m)[B] = O(log m) and that if the reverse ...
    • Conditional quasi-greedy bases in non-superreflexive Banach spaces 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2019)   Artículo / Artikulua  OpenAccess
      For a conditional quasi-greedy basis B in a Banach space, the associated conditionality constants km[B] verify the estimate km[B]=O(logm). Answering a question raised by Temlyakov, Yang, and Ye, several authors have studied ...
    • 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 Upna Orcid; Ansorena, José L.; Bello, Glenier (Cambridge University Press, 2023)   Artículo / Artikulua  OpenAccess
      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 ...
    • Elton's near unconditionality of bases as a threshold-free form of greediness 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Berasategui, Miguel (Elsevier, 2023)   Artículo / Artikulua  OpenAccess
      Elton's near unconditionality and quasi-greediness for largest coefficients are two properties of bases that made their appearance in functional analysis from very different areas of research. One of our aims in this note ...
    • Embeddability of ℓp and bases in Lipschitz free p-spaces for 0 < p ≤ 1 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Cúth, Marek; Doucha, Michal (Elsevier, 2020)   Artículo / Artikulua  OpenAccess
      Our goal in this paper is to continue the study initiated by the authors in of the geometry of the Lipschitz free p-spaces over quasimetric spaces for 0 < p ≤ 1, denoted Fp(M). Here we develop new techniques to show that, ...
    • Existence of almost greedy bases in mixed-norm sequence and matrix spaces, including besov spaces 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Bello, Glenier; Wojtaszczyk, Przemyslaw (Springer, 2023)   Artículo / Artikulua  OpenAccess
      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 Upna Orcid; Ansorena, José L.; Berná, Pablo M.; Wojtaszczyk, Przemyslaw (Instytut Matematyczny, 2021)   Artículo / Artikulua  OpenAccess
      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 ...
    • Lipschitz algebras and Lipschitz-Free spaces over unbounded metric spaces 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Cúth, Marek; Doucha, Michal (Oxford University Press, 2021)   Artículo / Artikulua  OpenAccess
      We investigate a way to turn an arbitrary (usually, unbounded) metric space M into a bounded metric space B in such a way that the corresponding Lipschitz-free spaces F(M) and F(B) are isomorphic. The construction we provide ...
    • Lipschitz free p-spaces for 0 < p < 1 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Cúth, Marek; Doucha, Michal (SpringerHebrew University Magnes Press, 2020)   Artículo / Artikulua  OpenAccess
      This paper initiates the study of the structure of a new class of p-Banach spaces, 0 <p < 1, namely the Lipschitz free p-spaces (alternatively called Arens—Eells p-spaces) Fp(M) over p-metric spaces. We systematically ...
    • Lipschitz free spaces isomorphic to their infinite sums and geometric applications 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Cúth, Marek; Doucha, Michal (American Mathematical Society, 2021)   Artículo / Artikulua  OpenAccess
      We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to their infinite direct _1-sum and exhibit several applications. As examples of such applications we have that Lipschitz-free ...
    • New parameters and Lebesgue-type estimates in greedy approximation 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Berná, Pablo M. (Cambridge University Press, 2022)   Artículo / Artikulua  OpenAccess
      The purpose of this paper is to quantify the size of the Lebesgue constants (𝑳𝑚)∞ 𝑚=1 associated with the thresholding greedy algorithm in terms of a new generation of parameters that modulate accurately some features ...
    • Non-superreflexivity of Garling sequence spaces and applications to the existence of special types of conditional bases 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Dilworth, S. J.; Kutzarova, Denka (Instytut Matematyczny, 2020)   Artículo / Artikulua  OpenAccess
      We settle in the negative the problem of the superreflexivity of Garling sequence spaces by showing that they contain a complemented subspace isomorphic to a non-superreflexive mixed-norm sequence space. As a by-product, ...
    • On a 'philosophical' question about Banach envelopes 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2021)   Artículo / Artikulua  OpenAccess
      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 Upna Orcid; Ansorena, José L.; Wojtaszczyk, Przemyslaw (Springer, 2021)   Artículo / Artikulua  OpenAccess
      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 ...
    • On perfectly homogeneous bases in quasi-Banach spaces 

      Albiac Alesanco, Fernando José Upna Orcid; Leránoz Istúriz, María Camino Upna Orcid (Hindawi Publishing Corporation, 2009)   Artículo / Artikulua  OpenAccess
      For 0 < p < infinity the unit vector basis of l(p) has the property of perfect homogeneity: it is equivalent to all its normalized block basic sequences, that is, perfectly homogeneous bases are a special case of symmetric ...
    • On the norm-preservation of squares in real algebra representation 

      Albiac Alesanco, Fernando José Upna Orcid; Blasco, Óscar; Briem, E. (Springer, 2021)   Artículo / Artikulua  OpenAccess
      One of the main results of the article Gelfand theory for real Banach algebras, recently published in [Rev R Acad Cienc Exactas Fís Nat Ser A Mat RACSAM 114(4):163, 2020] is Proposition 4.1, which establishes that the norm ...
    • On the permutative equivalence of squares of unconditional bases 

      Albiac Alesanco, Fernando José Upna Orcid; Ansorena, José L. (Elsevier, 2022)   Artículo / Artikulua  OpenAccess
      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 ...

      El Repositorio ha recibido la ayuda de la Fundación Española para la Ciencia y la Tecnología para la realización de actividades en el ámbito del fomento de la investigación científica de excelencia, en la Línea 2. Repositorios institucionales (convocatoria 2020-2021).
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