Chebyshev coefficients for L1-preduals and for spaces with the extension property
- Masa Noceda, María Concepción
- Bayod Bayod, José Manuel
ISSN: 0214-1493
Año de publicación: 1990
Volumen: 34
Número: 2
Páginas: 341-347
Tipo: Artículo
Otras publicaciones en: Publicacions matematiques
Resumen
We apply the Chebyshev coefficients ?f and ?b, recently introduced by the authors, to obtain some results related to certain geometric properties of Banach spaces. We prove that a real normed space E is an L1-predual if and only if ?f(E) = 1/2, and that if a (real or complex) normed space E is a P1 space, then ?b(E) equals ?b(K), where K is the ground field of E.