Exhaustivity, continuity, and strong additivity in topological Riesz spaces.
Description:
In this paper, exhaustivity, continuity, and strong additivity are studied in the setting of topological Riesz spaces. Of particular interest is the link between strong additivity and exhaustive elements of Dedekind s-complete Banach lattices. There is a strong connection between the Diestel-Faires Theorem and the Meyer-Nieberg Lemma in this setting. Also, embedding properties of Banach lattices are linked to the notion of strong additivity. The Meyer-Nieberg Lemma is extended to the setting o…
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Date:
May 2004
Creator:
Muller, Kimberly O.
Partner:
UNT Libraries