Geodesic
(I)-envelopes of unit balls and James' characterization of reflexivity
Ondřej F. K. Kalenda 1
1 Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Sokolovská 83 186 75 Praha 8, Czech Republic
Studia Mathematica, Tome 182 (2007) no. 1, pp. 29-40 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the (I)-envelopes of the unit balls of Banach spaces. We show, in particular, that any nonreflexive space can be renormed in such a way that the (I)-envelope of the unit ball is not the whole bidual unit ball. Further, we give a simpler proof of James' characterization of reflexivity in the nonseparable case. We also study the spaces in which the (I)-envelope of the unit ball adds nothing.
DOI : 10.4064/sm182-1-2
Keywords: study envelopes unit balls banach spaces particular nonreflexive space renormed envelope unit ball whole bidual unit ball further simpler proof james characterization reflexivity nonseparable study spaces which envelope unit ball adds nothing

Ondřej F. K. Kalenda  1

1 Department of Mathematical Analysis Faculty of Mathematics and Physics Charles University Sokolovská 83 186 75 Praha 8, Czech Republic 
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 James' characterization of reflexivity
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Ondřej F. K. Kalenda. (I)-envelopes of unit balls and
 James' characterization of reflexivity. Studia Mathematica, Tome 182 (2007) no. 1, pp. 29-40. doi: 10.4064/sm182-1-2

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