Abstract
In this paper we study the geometry of higher duals of a Banach space using techniques from the theory of $M$-ideals. We show that any Banach space that is an $M$-ideal in its bidual is an $M$-ideal in all duals of even order. As a consequence of this result, we show that continuous linear functionals on such spaces have unique norm preserving extensions to all duals of even order.
Citation
T. S. S. R. K. Rao. "On the geometry of higher duals of a Banach space." Illinois J. Math. 45 (4) 1389 - 1392, Winter 2001. https://doi.org/10.1215/ijm/1258138074
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