Bull. Austral. Math. Soc. 72(1) pp.39--44, 2005.
A nonlinear map for midpoint locally uniformly rotund renorming
S. Lajara |
A.J. Pallarés |
Research supported by MCYT BFM 2002-01719 and CARM Séneca 00690-PI-04.
Abstract
We provide a criterion for midpoint locally
uniformly rotund renormability of normed spaces involving the class
of 
-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.
-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.Click to download PDF of this article (free access until July 2006)
or get the no-frills version
[an error occurred while processing this directive]| (Metadata: XML, RSS, BibTeX) | MathSciNet: MR2162292 | Z'blatt-MATH: 02212184 |
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