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Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting Cover

Limit Theorems for k-Subadditive Lattice Group-Valued Capacities in The Filter Convergence Setting

Tatra Mountains Mathematical Publications
Volume 65 (2016): Issue 1 (March 2016)
By:  and    
Open Access
|Aug 2016
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DOI: https://doi.org/10.1515/tmmp-2016-0001 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195
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Language: English
Page range: 1 - 21
Submitted on: Oct 20, 2014
Published on: Aug 4, 2016
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
Keywords:
lattice group,
(diagonal) filter,
filter (D)-convergence,
filter (O)-convergence,
k-subadditive capacity,
continuous capacity,
regular capacity,
(s)-bounded capacity,
Fremlin’s lemma,
Maeda-Ogasawara-Vulikh theorem,
limit theorem,
Brooks-Jewett theorem,
Vitali- -Hahn-Saks theorem,
Nikod´ym theorem,
Dieudonn´e theorem
Related subjects:
Mathematics,
General mathematics

© 2016 Antonio Boccuto, Xenofon Dimitriou, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 65 (2016): Issue 1 (March 2016)
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