Geodesic
On Locally Uniformly Rotund Renormings in C(K) Spaces
Canadian journal of mathematics, Tome 62 (2010) no. 3, pp. 595-613

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DOI

A characterization of the Banach spaces of type $C\left( K \right)$ that admit an equivalent locally uniformly rotund norm is obtained, and a method to apply it to concrete spaces is developed. As an application the existence of such renorming is deduced when $K$ is a Namioka–Phelps compact or for some particular class of Rosenthal compacta, results which were originally proved with ad hoc methods.
DOI : 10.4153/CJM-2010-037-1
Mots-clés : 46B03, 46B20 
Martínez, J. F.; Moltó, A. On Locally Uniformly Rotund Renormings in C(K) Spaces. Canadian journal of mathematics, Tome 62 (2010) no. 3, pp. 595-613. doi: 10.4153/CJM-2010-037-1
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     author = {Mart{\'\i}nez, J. F. and Molt\'o, A.},
     title = {On {Locally} {Uniformly} {Rotund} {Renormings} in {C(K)} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {595--613},
     year = {2010},
     volume = {62},
     number = {3},
     doi = {10.4153/CJM-2010-037-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-037-1/}
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