On a dual locally uniformly rotund norm on a dual Vašák space
Studia Mathematica, Tome 101 (1991) no. 1, pp. 69-81

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We transfer a renorming method of transfer, due to G. Godefroy, from weakly compactly generated Banach spaces to Vašák, i.e., weakly K-countably determined Banach spaces. Thus we obtain a new construction of a locally uniformly rotund norm on a Vašák space. A further cultivation of this method yields the new result that every dual Vašák space admits a dual locally uniformly rotund norm.
DOI : 10.4064/sm-101-1-69-81

Marián Fabian 1

1
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Marián Fabian. On a dual locally uniformly rotund norm on a dual Vašák space. Studia Mathematica, Tome 101 (1991) no. 1, pp. 69-81. doi: 10.4064/sm-101-1-69-81

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