Isometrically invariant extensions of Lebesgue measure
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- by Krzysztof Ciesielski PDF
- Proc. Amer. Math. Soc. 110 (1990), 799-801 Request permission
Abstract:
The purpose of this note is to give a very short prove of the theorem thta every isometrically invariant measure extending Lebesgue measure on ${{\mathbf {R}}^n}$ has a proper isometrically invariant extension, i.e., that there is no maximal isometrically invariant extension of Lebesgue measure on ${{\mathbf {R}}^n}$.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 799-801
- MSC: Primary 28C10
- DOI: https://doi.org/10.1090/S0002-9939-1990-1027089-7
- MathSciNet review: 1027089