A geometric variant of Badé’s theorem on dominating measures

Day, Mahlon M.

doi:10.1090/S0002-9939-1981-0601728-9

A geometric variant of Badé’s theorem on dominating measures
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Proc. Amer. Math. Soc. 81 (1981), 554-556 Request permission

Abstract:

Let $\mathcal {B}$ be a bounded Boolean algebra of projections in a superreflexive Banach space $B$. Then for each $b$ in $B$ there is a $\beta = \varphi (b)$ in ${B^*}$ such that $\varphi$ is norm-norm uniformly bicontinuous and $\beta (Pb) = 0$ if and only if $Pb = 0$.

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Zur allgemeine Theorie des Masses

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