Renormings and extremal structures
Godefroy, G. ; Rao, T. S. S. R. K.
Illinois J. Math., Tome 48 (2004) no. 3, p. 1021-1029 / Harvested from Project Euclid
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In this paper we use renorming techniques to settle several questions on extremal structures of Banach spaces. We construct a unitary vector in a dual space which is not a weak$^\ast$-unitary. We construct an exposed point in the unit ball of a Banach space $X$ that remains exposed in the unit ball of $X^{(4)}$ but is not extreme in the unit ball of $X^{(6)}$.
Publié le : 2004-07-15
Classification:  46B03,  46B10,  46B20 
@article{1258131067,
     author = {Godefroy, G. and Rao, T. S. S. R. K.},
     title = {Renormings and extremal structures},
     journal = {Illinois J. Math.},
     volume = {48},
     number = {3},
     year = {2004},
     pages = { 1021-1029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258131067}
}

Godefroy, G.; Rao, T. S. S. R. K. Renormings and extremal structures. Illinois J. Math., Tome 48 (2004) no. 3, pp.  1021-1029. http://gdmltest.u-ga.fr/item/1258131067/