Submultiplicative norms in CC(K) spaces with applications to uniform algebras

Certain algebra norms on the algebra of functions on a two-point set are defined and used to construct a new family of parametric algebra norms on the space CC(K) of continuous complex-valued functions on a compact Hausdorff space. As a by-product of our work we transfer our construction to uniform...

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Detalles Bibliográficos
Autores: Albiac Alesanco, Fernando José, Blasco, Óscar, Briem, E.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad Pública de Navarra
Repositorio:Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
OAI Identifier:oai:academica-e.unavarra.es:2454/48007
Acceso en línea:https://hdl.handle.net/2454/48007
Access Level:acceso abierto
Palabra clave:C(K) spaces
Submultiplicative norms
Uniform algebras
Descripción
Sumario:Certain algebra norms on the algebra of functions on a two-point set are defined and used to construct a new family of parametric algebra norms on the space CC(K) of continuous complex-valued functions on a compact Hausdorff space. As a by-product of our work we transfer our construction to uniform algebras to obtain a new collection of norms with special properties.