Artículo
Linearization of functions
Fecha de publicación:
04/2004
Editorial:
Springer
Revista:
Mathematische Annalen
ISSN:
0025-5831
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Given a space F(U ) of functions f : U −→ C which are continuous, we construct another space F∗(U ) and a map e : U −→ F∗(U )linearizing all functions f ∈ F(U )(i.e. there are Lf ∈ F∗(U ) such that Lf ◦ e = f ). Such linearizations are stronger than mere preduals for F(U ), for example for F(U ) = 1, linearizations correspond to preduals of 1 which are isomorphic to c0. We also address the vector-valued case. A number of such linearizing constructions are to be found in the literarture, mostly for certain spaces of holomorphic functions. The procedure presented here generalizes all these special cases.
Palabras clave:
FUNCTIONS
,
MATHEMATICS
,
LINEARIZING CONSTRUCTIONS
Archivos asociados
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Identificadores
Colecciones
Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos(SEDE CENTRAL)
Articulos de SEDE CENTRAL
Articulos de SEDE CENTRAL
Citación
Carando, Daniel Germán; Zalduendo, Ignacio Martin; Linearization of functions; Springer; Mathematische Annalen; 328; 4; 4-2004; 683-700
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