• openAccess   A characterization of a local vector valued Bollobás Theorem 

      Dantas, Sheldon; Rueda Zoca, Abraham Springer Nature (2021-07-30)
      In this paper, we are interested in giving two characterizations for the so-called property Lo,o, a local vector valued Bollobás type theorem. We say that (X, Y) has this property whenever given ε>0 and an operador T:X→Y, ...
    • openAccess   Norm-Attaining Tensors and Nuclear Operators 

      Dantas, Sheldon; Jung, Mingu; Roldán, Óscar; Rueda Zoca, Abraham Springer (2022-06)
      Given two Banach spaces X and Y, we introduce and study a concept of norm-attainment in the space of nuclear operators (𝑋�,𝑌�) and in the projective tensor product space 𝑋�⊗ˆ𝜋�𝑌�. We exhibit positive and negative ...
    • openAccess   On norm-attainment in (symmetric) tensor products 

      Dantas, Sheldon; García-Lirola, Luis C.; Jung, Mingu; Rueda Zoca, Abraham Taylor & Francis (2022)
      In this paper, we introduce a concept of norm-attainment in the projective symmetric tensor product of a Banach space X, which turns out to be naturally related to the classical norm-attainment of N -homogeneous polynomials ...