Function spaces not containing ℓ1

URI	http://purl.tuc.gr/dl/dias/3E8F358E-D09A-41B8-B420-0B4E5FB05D85	-
Identifier	https://doi.org/10.1007/BF02776049	-
Language	en	-
Extent	53 pages	en
Title	Function spaces not containing ℓ1	en
Creator	Manousakis Antonios	en
Creator	Μανουσακης Αντωνιος	el
Creator	Petrakis, Marina	en
Creator	Deliyanni,I	en
Publisher	Springer Verlag	en
Content Summary	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.	el
Type of Item	Peer-Reviewed Journal Publication	en
Type of Item	Δημοσίευση σε Περιοδικό με Κριτές	el
License	http://creativecommons.org/licenses/by/4.0/	en
Date of Item	2015-11-14	-
Date of Publication	2003	-
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	en

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