dc.contributor.author |
Kenderov, PS |
en |
dc.contributor.author |
Kortezov, I |
en |
dc.contributor.author |
Moors, WB |
en |
dc.date.accessioned |
2012-06-26T22:36:44Z |
en |
dc.date.issued |
2006 |
en |
dc.identifier.citation |
Topology and its Applications 153(14):2745-2759 2006 |
en |
dc.identifier.issn |
0166-8641 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/19179 |
en |
dc.description.abstract |
Let T be the class of Banach spaces E for which every weakly continuous mapping from an α-favorable space to E is norm continuous at the points of a dense subset. We show that: • T contains all weakly Lindelöf Banach spaces; • l∞∉T, which brings clarity to a concern expressed by Haydon ([R. Haydon, Baire trees, bad norms and the Namioka property, Mathematika 42 (1995) 30–42], pp. 30–31) about the need of additional set-theoretical assumptions for this conclusion. Also, (l∞/c0)∉T. • T is stable under weak homeomorphisms; • E∈T iff every quasi-continuous mapping from a complete metric space to (E,weak) is densely norm continuous; • E∈T iff every quasi-continuous mapping from a complete metric space to (E,weak) is weakly continuous at some point. |
en |
dc.publisher |
Elsevier B.V. |
en |
dc.relation.ispartofseries |
Topology and Its Applications |
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. |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.title |
Norm continuity of weakly continuous mappings into Banach spaces |
en |
dc.type |
Journal Article |
en |
dc.identifier.doi |
10.1016/j.topol.2005.11.007 |
en |
pubs.issue |
14 |
en |
pubs.begin-page |
2745 |
en |
pubs.volume |
153 |
en |
dc.rights.holder |
Copyright: Elsevier B.V. |
en |
pubs.author-url |
http://www.sciencedirect.com/science/article/pii/S0166864105003111 |
en |
pubs.end-page |
2759 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/RestrictedAccess |
en |
pubs.subtype |
Article |
en |
pubs.elements-id |
50479 |
en |
pubs.org-id |
Science |
en |
pubs.org-id |
Mathematics |
en |
pubs.record-created-at-source-date |
2010-09-01 |
en |