Regular and purely irregular bounded charges: a decomposition theorem
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- by Bruno Girotto and Silvano Holzer PDF
- Proc. Amer. Math. Soc. 116 (1992), 683-693 Request permission
Abstract:
We introduce the notions of regular and purely irregular charges with respect to a pair of pavings and study their structural properties. Moreover, we link regularity and $\sigma$-additivity, obtaining some generalizations of well-known theorems. Finally, when the pavings satisfy some reasonable weak conditions, we can decompose any bounded charge into regular and purely irregular decomposants; this decomposition becomes the Hewitt-Yosida one, whenever the charges are defined on the Baire $\sigma$-field of a countably compact space.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 683-693
- MSC: Primary 28C15; Secondary 60B05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1099340-0
- MathSciNet review: 1099340