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A nonlinear map for midpoint locally uniformly rotund renorming
Published online by Cambridge University Press: 17 April 2009
Extract
We provide a criterion for midpoint locally uniformly rotund renormability of normed spaces involving the class of σ-slicely continuous maps, recently introduced by Moltó, Orihuela, Troyanski and Valdiva in 2003. As a consequence of this result, we obtain a theorem of G. Alexandrov concerning the three space problem for midpoint locally uniformly rotund renormings of Banach spaces.
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- Copyright © Australian Mathematical Society 2005
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