On the topology of pointwise convergence on the boundaries of L_1 preduals

Moors, Warren; Spurny, J

dc.contributor.author	Moors, Warren	en
dc.contributor.author	Spurny, J	en
dc.date.accessioned	2012-03-08T02:20:11Z	en
dc.date.issued	2009	en
dc.identifier.citation	Proceedings of the American Mathematical Society 137(4):1421-1429 2009	en
dc.identifier.issn	0002-9939	en
dc.identifier.uri	http://hdl.handle.net/2292/13428	en
dc.description.abstract	In this paper we prove a theorem more general than the following: ``If (X,\Vert\cdot\Vert) is an L_1-predual, B is any boundary of X and \{x_n:n \in \N\} is any subset of X, then the closure of \{x_n:n \in \N\} with respect to the topology of pointwise convergence on $ B$ is separable with respect to the topology generated by the norm, whenever {\rm Ext}(B_{X^}) is weak ^ Lindelöf.'' Several applications of this result are also presented.	en
dc.publisher	American Mathematical Society	en
dc.relation.ispartofseries	Proceedings of the American Mathematical Society	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0002-9939/	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	On the topology of pointwise convergence on the boundaries of L_1 preduals	en
dc.type	Journal Article	en
dc.identifier.doi	10.1090/S0002-9939-08-09708-6	en
pubs.begin-page	1421	en
pubs.volume	137	en
dc.rights.holder	Copyright: American Mathematical Society	en
pubs.end-page	1429	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	89054	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
dc.identifier.eissn	1088-6826	en
pubs.record-created-at-source-date	2010-09-01	en