Countable Additivity, Exhaustivity, and the Structure of Certain Banach Lattices
Description:
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 uniform absolute continuity in a series of papers, and Bartle, Dunford, and Schwartz established a close relationship between uniform countable additivity in ca(Σ) and operator theory for the classical …
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Date:
August 1999
Creator:
Huff, Cheryl Rae
Partner:
UNT Libraries