Vector valued chebechev systems

Let I be the unit interval and X be a real Banach space. The space of continuous functions on I with values in X is denoted by C(I,X). The object of this paper is to introduce Chebechev systems in C(I,X) and study the basi.c properties of such systems, and its relation to interpolation. It is also p...

Full description

Autores:
Al-Zamel, A.
Khalil, R.
Tipo de recurso:
Article of journal
Fecha de publicación:
1989
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43244
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43244
http://bdigital.unal.edu.co/33342/
Palabra clave:
Unit interval
Banach space
functions
Chebechev systems
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Let I be the unit interval and X be a real Banach space. The space of continuous functions on I with values in X is denoted by C(I,X). The object of this paper is to introduce Chebechev systems in C(I,X) and study the basi.c properties of such systems, and its relation to interpolation. It is also proved that a subspace that is generated by a weak Chebechev  system in C(I,X) is a Chebechev subspace.