Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673258 | Indagationes Mathematicae | 2009 | 5 Pages |
Abstract
A maxitive measure is a nonnegative function η on a σ-algebra Σ and such that η(Uj Aj ) = supj η(Aj) for all countable disjoint families of sets (Aj) in Σ. A representation theorem for such measures is established, and next applied to represent Köthe function M-spaces as L∞-spaces.
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Mathematics
Mathematics (General)