Isometric composition operators on Lipschitz spaces
Ficheros
Identificadores
Compartir
Metadatos
Mostrar el registro completo del ítemAutor
Jiménez Vargas, Antonio![Autoridad Universidad de Almería Autoridad Universidad de Almería](/themes/Mirage2/images/autoridades/autoridad.png)
Fecha
2020-02-20Resumen
Given pointed metric spaces X and Y , we characterize the basepoint-preserving Lipschitz maps φ from Y to X inducing an isometric
composition operator Cφ between the Lipschitz spaces Lip_0(X) and Lip_0(Y), whenever X enjoys the peak property. This gives an answer to a question posed by Weaver in his book [Lipschitz algebras. Second edition. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2018].
Palabra/s clave
Composition operator
Lipschitz function
Isometry
Peak property