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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/3E8F358E-D09A-41B8-B420-0B4E5FB05D85 | ||
| Year | 2003 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
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| Bibliographic Citation | S. A. Argyros , A. Manoussakis, M. Petrakis ,"Function spaces not containing ℓ1,"Israel J. of Mathematics , vol. 135, no. 1, pp 29-81,Dec. 2003.doi:10.1007/BF02776049 https://doi.org/10.1007/BF02776049 | ||
| Appears in Collections |
For Ω bounded and open subset ofBd0 andX a reflexive Banach space with 1-symmetric basis, the function spaceJF X (Ω) is defined. This class of spaces includes the classical James function space. Every member of this class is separable and has non-separable dual. We provide a proof of topological nature thatJF X (Ω) does not contain an isomorphic copy of ℓ1. We also investigate the structure of these spaces and their duals.
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