Algebraic reflexivity of the isometry group of some spaces of Lipschitz functions
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2010-01-29Resumen
We show that the isometry groups of Lip(X,d) and lip(X,d^α) with α ∈ (0, 1), for a compact metric space (X,d), are algebraically reflexive. We also prove that the sets of isometric reflections and generalized bi-circular projections on such spaces are algebraically reflexive. In order to achieve this, we characterize generalized bi-circular projections on these spaces.
Palabra/s clave
Iso-reflexive space
Algebraic reflexivity
Isometry group
Lipschitz function
Isometric reflection
Generalized bi-circular projection