Countable Additivity, Exhaustivity, and the Structure of Certain Banach Lattices
The notion of uniform countable additivity or uniform absolute continuity is present implicitly in the Lebesgue Dominated Convergence Theorem and explicitly in the Vitali-Hahn-Saks and Nikodym Theorems, respectively. V. M. Dubrovsky studied the connection between uniform countable additivity and uni...
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Language: | English |
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University of North Texas
1999
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Online Access: | https://digital.library.unt.edu/ark:/67531/metadc278330/ |