Título inglés |
On strongly Pettis integrable functions in locally convex spaces. |
Título español |
Funciones fuertemente integrables de Pettis sobre espacios localmente convexos. |
Autor/es |
Chakraborty, N. D. ; Jaker Ali, Sk. |
Organización |
Dep. Math. Univ. Burdwan, Burdwan West Bengal, India |
Revista |
0214-3577 |
Publicación |
1993, 6 (2): 241-262, 27 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Some characterizations have been given for the relative compactness of the range of the indefinite Pettis integral of a function on a complete finite measure space with values in a quasicomplete Hausdorff locally convex space. It has been shown that the indefinite Pettis integral has a relatively compact range if the functions is measurable by seminorm. Separation property has been defined for a scalarly measurable function and it has been proved that a function with this property is integrable by seminorm. For a bounded function another characterization has been given for the relative compactness of the range of the indefinite Pettis integral. Dunford-Pettis-Phillips theorem has been generalized to locally convex spaces and as a corollary of this theorem some results which are valid for Banach spaces have been extended to locally convex spaces. |
Clasificación UNESCO |
120216 |
Palabras clave español |
Espacios localmente convexos ; Medidas del vector-estimación ; Integrales de Pettis |
Código MathReviews |
MR1269755 |
Código Z-Math |
Zbl 0815.28006 |
Acceso al artículo completo |