Título inglés |
Order continuous seminorms and weak compactness in Orlicz spaces. |
Título español |
Seminormas absolutamente continuas y compacidad débil en espacios de Orlicz. |
Autor/es |
Nowak, Marian |
Organización |
Inst. Math. A. Minckiewicz Univ., Poznan, Polonia |
Revista |
0010-0757 |
Publicación |
1993, 44(1-2-3): 217-236, 21 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Let L-phi be an Orlicz space defined by a Young function phi over a sigma-finite measure space, and let phi* denote the complementary function in the sense of Young. We give a characterization of the Mackey topology tau(L*,L-phi*) in terms of some family of norms defined by some regular Young functions. Next we describe order continuous (=absolutely continuous) Riesz seminorms on L-phi, and obtain a criterion for relative sigma(L-phi,L-phi*)-compactness in L-phi. As an application we get a representation of L-phi as the union of some family of other Orlicz spaces. Finally, we apply the above results to the theory of Lebesgue spaces. |
Clasificación UNESCO |
120200 |
Palabras clave español |
Espacio de Orlicz ; Seminormas ; Compacidad ; Espacios de Riesz |
Código MathReviews |
MR1280740 |
Código Z-Math |
Zbl 0815.46027 |
Acceso al artículo completo |