Renormings and extremal structures

Godefroy, G. ; Rao, T. S. S. R. K. (2004) Renormings and extremal structures Illinois Journal of Mathematics, 48 (3). pp. 1021-1029. ISSN 0019-2082

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Official URL: http://www.math.uiuc.edu/~hildebr/ijm/fall04/final...

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 -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).

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Deposited On:14 Oct 2011 06:46
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