Abstract
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 $X^{(6)}$.
Citation
G. Godefroy. T. S. S. R. K. Rao. "Renormings and extremal structures." Illinois J. Math. 48 (3) 1021 - 1029, Fall 2004. https://doi.org/10.1215/ijm/1258131067
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