Now showing items 1-3 of 3

    • 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 ...
    • 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, ...