Título inglés | Homogenous Banach spaces on the unit circle. |
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Título español | Espacios de Banach homogéneos en el círculo unidad. |
Autor/es | Pedersen, Thomas Vils |
Organización | Lab. Math. Pur. Univ. Bordeaux, Talence, Francia |
Revista | 0214-1493 |
Publicación | 2000, 44 (1): 135-155, 20 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | We prove that a homogeneous Banach space B on the unit circle T can be embedded as a closed subspace of a dual space Ξ*B contained in the space of bounded Borel measures on T in such a way that the map B → Ξ*B defines a bijective correspondence between the class of homogeneous Banach spaces on T and the class of prehomogeneous Banach spaces on T. We apply our results to show that the algebra of all continuous functions on T is the only homogeneous Banach algebra on T in which every closed ideal has a bounded approximate identity with a common bound, and that the space of multipliers between two homogeneous Banach spaces is a dual space. Finally, we describe the space Ξ*B for some examples of homogeneous Banach spaces B on T. |
Clasificación UNESCO | 120203 |
Palabras clave español | Espacios de Banach ; Funciones analíticas ; Funciones de variación acotada |
Código MathReviews | MR1775745 |
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