• openAccess   Finite codimensional isometries on spaces of vector-valued continuous functions 

      Araujo Gómez, Jesús; Font, Juan J. Elsevier (2015-01)
      Based on the vector-valued generalization of Holsztyński's theorem by M. Cambern, we provide a complete description of the linear isometries of C(X,E)C(X,E) into C(Y,F)C(Y,F) whose range has finite codimension.
    • closedAccess   On the stability index for weighted composition operators 

      Araujo Gómez, Jesús; Font, Juan J. Elsevier (2010)
      Let ϵ>0. A continuous linear operator T:C(X)⟶C(Y) is said to ϵ-preserve disjointness if ‖(Tf)(Tg)‖∞≤ϵ, whenever f,g∈C(X) satisfy ‖f‖∞=‖g‖∞=1 and fg≡0. In this paper we continue our study of the minimal interval where the ...
    • openAccess   Stability of weighted composition operators between spaces of continuous functions 

      Araujo Gómez, Jesús; Font, Juan J. London Mathematical Society (2009)
      Let ϵ>0. A continuous linear operator T:C(X)→C(Y) is said to be ϵ-disjointness preserving if ‖ (Tf)(Tg)‖∞≤ϵ whenever f, g∈C(X) satisfy ‖ f‖∞=‖ g‖∞=1 and fg≡ 0. In this paper we basically address the following question: How ...
    • openAccess   Stability of weighted point evaluation functionals 

      Araujo Gómez, Jesús; Font, Juan J. American Mathematical Society (2010-05-12)
      Given ε > 0, a continuous linear functional φ on C(X) is said to be ε-disjointness preserving if |φ(f)φ(g)| ≤ ε whenever f,g ∈ C(X) satisfy ∥f∥∞ = ∥g∥∞ = 1 and fg ≡ 0. In this paper we provide the exact maximal distance ...