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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DOI

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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     author = {Haydon, Richard and Zizler, Vaclav},
     title = {A {New} {Space} {With} no {Locally} {Uniformly} {Rotund} {Renorming}},
     journal = {Canadian mathematical bulletin},
     pages = {122--128},
     year = {1989},
     volume = {32},
     number = {1},
     doi = {10.4153/CMB-1989-019-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-019-7/}
}
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