A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES
We consider the Banach-Mackey property for pairs of vector spaces E and E' which ar in duality. Le A be and algebra of sets and assume that P is an additive map from A into the projection operators on E. We define a continuous gliding hump property for the map P and show that pairs with this gl...
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| Autor principal: | |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2001
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100002 |
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| Sumario: | We consider the Banach-Mackey property for pairs of vector spaces E and E' which ar in duality. Le A be and algebra of sets and assume that P is an additive map from A into the projection operators on E. We define a continuous gliding hump property for the map P and show that pairs with this gliding hump property and another measure theoretic property are Banch-Mackey pairs, i.e., weakly bounded subsets of E are strongly bounded. Examples of vector valued function spaces, such as the space of Pettis integrable functions, which satisfy these conditions are given |
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