On Fréchet theorem in the set of measure preserving functions over the unit interval

So-Hsiang Chou and Truc T. Nguyen

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-6

Abstract:

In this paper, we study the Fréchet theorem in the set of measure preserving functions over the unit interval and show that any measure preserving function on [ 0 , 1 ] can be approximated by a sequence of measure preserving piecewise linear continuous functions almost everywhere. Some application is included.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:708257

DOI: 10.1155/S0161171290000552

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