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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 535-536
- MSC: Primary 28A45
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296248-2
- MathSciNet review: 0296248