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 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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Universidad Católica del Norte, Departamento de Matemáticas
2001
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oai:scielo:S0716-091720010001000022001-10-08A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACESSWARTZ,CHARLESWe 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 giveninfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.1 20012001-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100002en10.4067/S0716-09172001000100002 |
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SWARTZ,CHARLES |
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SWARTZ,CHARLES A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES |
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SWARTZ,CHARLES |
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SWARTZ,CHARLES |
| title |
A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES |
| title_short |
A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES |
| title_full |
A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES |
| title_fullStr |
A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES |
| title_full_unstemmed |
A MULTIPLIER GLIDING HUMP PROPERTY FOR SEQUENCE SPACES |
| title_sort |
multiplier gliding hump property for sequence spaces |
| description |
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 |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2001 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000100002 |
| work_keys_str_mv |
AT swartzcharles amultiplierglidinghumppropertyforsequencespaces AT swartzcharles multiplierglidinghumppropertyforsequencespaces |
| _version_ |
1755990009254510592 |