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arXiv · 1401.0310

The Daniell Integral

Elliot Blackstone·Piotr Mikusinski
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Abstract

The basic properties of the Daniell integral are presented. We do not use the standard approach of introducing auxiliary spaces of the "over-functions" and "under-functions." Instead, we use a simple and direct approach based on approximating integrable functions by absolutely convergent series of simple functions.

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Elliot Blackstone, Piotr Mikusinski. 2014-01-01. The Daniell Integral. https://arxiv.org/abs/1401.0310

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