Rough and strongly rough norms on Banach spaces
Whitfield, J. H. M.
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Whitfield, J. H. M.
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W. Johnson, M. Zippin (1995)
Studia Mathematica
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It is proved that every operator from a weak*-closed subspace of into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from to C(K).
Felipe Zo (1976)
Studia Mathematica
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S. Świerczkowski (1961)
Colloquium Mathematicae
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Marián Fabian, Gilles Godefroy (1988)
Studia Mathematica
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Emilia Perri (1983)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Carlos Kenig, Horacio Porta (1976)
Studia Mathematica
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