Some remarks on non-separable Banach spaces with Markuševič basis
Kamil John, Václav Zizler (1974)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “On one generalization of the weakly compactly generated B-spaces”
Some remarks on non-separable Banach spaces with Markuševič basis
Fixed point theorems, Nemyckii and Uryson operators, and continuity of nonlinear mappings
Josef Daneš (1970)
Commentationes Mathematicae Universitatis Carolinae
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On one generalization of weakly compactly generated Banach spaces
L. Vašák (1981)
Studia Mathematica
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On a dual locally uniformly rotund norm on a dual Vašák space
Marián Fabian (1991)
Studia Mathematica
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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.