Displaying similar documents to “Convergence theorems for measures with values in Riesz spaces”

On the modulus of measures with values in topological Riesz spaces.

Lech Drewnowski, Witold Wnuk (2002)

Revista Matemática Complutense

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The paper is devoted to a study of some aspects of the theory of (topological) Riesz space valued measures. The main topics considered are the following. First, the problem of existence (and, particularly, the so-called proper existence) of the modulus of an order bounded measure, and its relation to a similar problem for the induced integral operator. Second, the question of how properties of such a measure like countable additivity, exhaustivity or so-called absolute exhaustivity,...