A vector measure with no derivative

Lewis, D. R.

doi:10.1090/S0002-9939-1972-0296248-2

A vector measure with no derivative
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by D. R. Lewis PDF

Proc. Amer. Math. Soc. 32 (1972), 535-536 Request permission

Abstract:

Given a nonatomic scalar measure $\mu$, there is a vector valued, $\mu$-continuous measure of finite variation which has no derivative with respect to $\mu$, but which has the property that the closure of its range is compact and convex.

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Banach spaces whose duals are isomorphic to

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