• 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 the existence of non-norm-attaining operators 

      Dantas, Sheldon; Jung, Mingu; Martínez Cervantes, Gonzalo Cambridge University Press (2021-07-09)
      In this article, we provide necessary and sufficient conditions for the existence of non-norm-attaining operators in L(E,F) . By using a theorem due to Pfitzner on James boundaries, we show that if there exists a ...