Rao, T. S. S. R. K. (2001) On the geometry of higher duals of a Banach space Illinois Journal of Mathematics, 45 (4). pp. 1389-1392. ISSN 0019-2082
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Abstract
In this paper we study the geometry of higher duals of a Banach space using techniques from the theory of M-ideals. We show that any Banach space that is an M-ideal in its bidual is an M-ideal in all duals of even order. As a consequence of this result, we show that continuous linear functionals on such spaces have unique norm preserving extensions to all duals of even order.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to University of Illinois Press. |
| ID Code: | 64692 |
| Deposited On: | 14 Oct 2011 06:44 |
| Last Modified: | 18 May 2016 13:01 |
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