Geodesic
Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis
Serdica Mathematical Journal, Tome 26 (2000) no. 4, pp. 353-358

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It is shown that a Banach space X admits an equivalent uniformly Gateaux differentiable norm if it has an unconditional basis and X* admits an equivalent norm which is uniformly rotund in every direction.
Keywords: Unconditional Basis, Uniformly Gateaux Smooth Norms, Uniform Eberlein Compacts, Uniform Rotundity In Every Direction 
Rychter, Jan. Uniformly Gâteaux Differentiable Norms in Spaces with Unconditional Basis. Serdica Mathematical Journal, Tome 26 (2000) no. 4, pp. 353-358. http://geodesic.mathdoc.fr/item/SMJ2_2000_26_4_a4/
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     author = {Rychter, Jan},
     title = {Uniformly {G\^ateaux} {Differentiable} {Norms} in {Spaces} with {Unconditional} {Basis}},
     journal = {Serdica Mathematical Journal},
     pages = {353--358},
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     volume = {26},
     number = {4},
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     url = {http://geodesic.mathdoc.fr/item/SMJ2_2000_26_4_a4/}
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