Browsing MAT_Articles by Author "2eec99e5-99af-4019-bc91-de7e9df44ef3"
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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. -
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 ... -
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 ... -
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 ...