@article{343bc96d32a24f5c94e546ec4cd5703d,
title = "Boundaries of Asplund spaces",
abstract = "We study the relationship between the classical combinatorial inequalities of Simons and the more recent (I)-property of Fonf and Lindenstrauss. We obtain a characterization of strong boundaries for Asplund spaces using the new concept of finitely self-predictable set. Strong properties for w*-K-analytic boundaries are established as well as a sup-lim*sup theorem for Baire maps.",
keywords = "Asplund spaces, Banach spaces, James boundary",
author = "B. Cascales and Fonf, {V. P.} and J. Orihuela and S. Troyanski",
note = "Funding Information: ✩ B. Cascales, J. Orihuela and S. Troyanski were partially supported by MTM2008-05396/MTM Fondos FEDER and Fundaci{\'o}n S{\'e}neca 08848/PI/08 CARM. V.P. Fonf was partially supported by the Spanish government, grant MEC SAB 2005-016. S. Troyanski was partially supported by Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, and grant DO 02-360/2008 of Bulgarian NSF. * Corresponding author. E-mail addresses:
[email protected] (B. Cascales),
[email protected] (V.P. Fonf),
[email protected] (J. Orihuela),
[email protected] (S. Troyanski).",
year = "2010",
month = sep,
day = "1",
doi = "10.1016/j.jfa.2010.04.010",
language = "English",
volume = "259",
pages = "1346--1368",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "6",
}