Geodesic
A New Space With no Locally Uniformly Rotund Renorming
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 122-128

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We construct a Banach space X which has no equivalent (wLUR) norm but which has no subspace isomorphic to l ∞.
DOI : 10.4153/CMB-1989-019-7
Mots-clés : 46B20 
Haydon, Richard; Zizler, Vaclav. A New Space With no Locally Uniformly Rotund Renorming. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 122-128. doi: 10.4153/CMB-1989-019-7
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-019-7/}
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[1] 1. Haydon, R. G., A non-reflexive Grothendieck space which does not contain l , Israel J. Math. 40 (1981), 65-73. Google Scholar

[2] 2. , An unconditional result about Grothendieck spaces, Proc. Amer. Math. Soc. 100 (1987), 511–516. Google Scholar

[3] 3. , Levy, M. F. and Odell, E., On sequences without weak* convergent convex block subsequences, Proc. Amer. Math. Soc. 100 (1987), 94–98. Google Scholar

[4] 4. Lindenstrauss, J., Weakly compact sets - their topological properties and the Banach spaces they generate, Ann. of Math. Studies, 69 (1972), 235–273. Google Scholar

[5] 5. Talagrand, M., Un nouveau C﹛K) qui possède la propriété de Grothendieck, Israel J. Math., 37 (1980), 181–191. Google Scholar

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