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Neighborly bushes and
the Radon-Nikodým property for Banach spaces
Philip W. McCartney |
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Vol. 87 (1980), No. 1, 157–168
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Abstract |
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We introduce the neighborly bush property (NBP). A dual Banach space has the NBP if and only if it contains a bush, but there is a Banach space with the NBP that does not contain a bush and therefore has the Radon-Nikodým property. Any Banach space with the NBP has a nonseparable second dual. Other related results are obtained. |
Mathematical Subject Classification 2000
Primary: 46B22
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Milestones
Received: 18 October 1978
Revised: 5 June 1979
Published: 1 March 1980
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Authors |
| Philip W. McCartney | |
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