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Continuous transformation of Baire measures into Lebesgue measure

Author(s): Hans G. Kellerer
Journal: Proc. Amer. Math. Soc. 130 (2002), 2305-2309.
MSC (2000): Primary 28C15; Secondary 46G10
Posted: March 8, 2002
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Abstract: A recent result by Wulbert on the existence of continuous functions with measure zero level sets is slightly extended and its proof is considerably simplified. As a by-product, a criterion is established for a Baire measure to allow a continuous transformation into Lebesgue measure.

References:

1.: Hobby, C.R. and J.R. Rice, A moment problem in -approximation, Proc. Amer. Math. Soc. 16(1965)665-670. MR 31:2550
2.: Kellerer, H.G., Zur Existenz analoger Bereiche, Z. Wahrscheinlichkeitstheorie Verw. Geb. 1(1963)240-246. MR 28:182
3.: Kellerer, H.G., A topological version of Liapunov's theorem, Arch. Math. 72(1999) 206-213. MR 2000c:28019
4.: Phelps, R.R., Uniqueness of Hahn-Banach extensions and unique best approximation, Trans. Amer. Math. Soc. 95(1960)238-255. MR 22:3964
5.: Wulbert, D.E., Liapunov's and related theorems, Proc. Amer. Math. Soc. 108(1990) 955-960. MR 90m:46074
6.: Wulbert, D.E., Annihilating a subspace of with the sign of a continuous function, Proc. Amer. Math. Soc. 128(2000)2431-2438. MR 2000m:46036


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