A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES
We consider the Banach-Mackey property for pairs of vector spaces E and E' which are in duality. Let A be an 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 g...
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Universidad Católica del Norte, Departamento de Matemáticas
2001
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oai:scielo:S0716-091720010002000072001-11-07A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACESSWARTZ,CHARLESWe consider the Banach-Mackey property for pairs of vector spaces E and E' which are in duality. Let A be an 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 anoter measure theoretic property are Banach-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.2 20012001-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200007en10.4067/S0716-09172001000200007 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
We consider the Banach-Mackey property for pairs of vector spaces E and E' which are in duality. Let A be an 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 anoter measure theoretic property are Banach-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 |
| author |
SWARTZ,CHARLES |
| spellingShingle |
SWARTZ,CHARLES A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES |
| author_facet |
SWARTZ,CHARLES |
| author_sort |
SWARTZ,CHARLES |
| title |
A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES |
| title_short |
A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES |
| title_full |
A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES |
| title_fullStr |
A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES |
| title_full_unstemmed |
A GLIDING HUMP PROPERTY AND BANACH-MACKEY SPACES |
| title_sort |
gliding hump property and banach-mackey spaces |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2001 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200007 |
| work_keys_str_mv |
AT swartzcharles aglidinghumppropertyandbanachmackeyspaces AT swartzcharles glidinghumppropertyandbanachmackeyspaces |
| _version_ |
1718439722476371968 |