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Geometrical
implications of upper semi-continuity of the duality mapping
on a Banach space
John R. Giles, David Allan Gregory and Brailey Sims |
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Vol. 79 (1978), No. 1, 99–109
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Abstract |
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For the duality mapping on a Banach space the relation between lower semi-continuity and upper semi-continuity properties is explored, upper semi-continuity is characterized in terms of slices of the ball and upper semi-continuity properties are related to geometrical properties which imply that the space is an Asplund space. |
Mathematical Subject Classification 2000
Primary: 46B20
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Milestones
Received: 14 October 1978
Revised: 14 April 1978
Published: 1 November 1978
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Authors |
| John R. Giles | |
| David Allan Gregory | |
| Brailey Sims | |
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