@article{a588b1bd6ffe403ebd77ca691e83ff33,
title = "Polyhedral norms on non-separable Banach spaces",
abstract = "We prove the existence of equivalent polyhedral norms on a number of classes of non-separable spaces, the majority of which being of the form C (K). In particular, we obtain a complete characterization of those trees T, such that C0 (T) admits an equivalent polyhedral norm.",
keywords = "Orlicz space, Polyhedral norm, Scattered compact, Tree",
author = "Fonf, {V. P.} and Pallares, {A. J.} and Smith, {R. J.} and S. Troyanski",
note = "Funding Information: * Corresponding author. E-mail addresses:
[email protected] (V.P. Fonf),
[email protected] (A.J. Pallares),
[email protected] (R.J. Smith),
[email protected] (S. Troyanski). 1 Supported by the Spanish government, grant MEC SAB 2005-016, and by the Israel Science Foundation, grant 139/03. 2 Supported by MCYT MTM 2005-08379 and Fundaci{\'o}n S{\'e}neca 00690/PI/04 CARM. 3 Supported by the Institute of Mathematics and Informatics Bulgarian Academy of Sciences and grant MM-1401/2004 of Bulgarian NSF.",
year = "2008",
month = jul,
day = "15",
doi = "10.1016/j.jfa.2008.03.001",
language = "English",
volume = "255",
pages = "449--470",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "2",
}