# On the Lebesgue decomposition for non-additive functions

On the Lebesgue decomposition for non-additive functions A Lebesgue decomposition theorem for non-additive functions, acting on a $$\sigma$$ σ -complete orthomodular lattice and taking values in Hausdorff uniform spaces, is established. No algebraic structure is required on target spaces. The Boolean case is also investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

# On the Lebesgue decomposition for non-additive functions

, Volume 18 (3) – Sep 26, 2013
15 pages
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Publisher
Springer Basel
Copyright
Copyright © 2013 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-013-0257-1
Publisher site
See Article on Publisher Site

### Abstract

A Lebesgue decomposition theorem for non-additive functions, acting on a $$\sigma$$ σ -complete orthomodular lattice and taking values in Hausdorff uniform spaces, is established. No algebraic structure is required on target spaces. The Boolean case is also investigated.

### Journal

PositivitySpringer Journals

Published: Sep 26, 2013

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