Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Hilbert_space
|
| gptkbp:citation |
gptkb:Dunford,_N.;_Pettis,_B._J._(1940)._'Linear_operations_on_summable_functions.'_Trans._Amer._Math._Soc.
|
| gptkbp:defines |
A Banach space X has the Dunford–Pettis property if every weakly compact operator from X to any Banach space Y is completely continuous.
|
| gptkbp:example |
C(K) space has the Dunford–Pettis property
L^1 space has the Dunford–Pettis property |
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Dunford–Pettis property
|
| gptkbp:namedAfter |
gptkb:Nelson_Dunford
gptkb:B._J._Pettis |
| gptkbp:relatedTo |
completely continuous operator
weakly compact operator |
| gptkbp:bfsParent |
gptkb:Nelson_Dunford
|
| gptkbp:bfsLayer |
6
|