Avallone, Barbieri, Vitolo: Central Elements in Pseudo-D-Lattices and Hahn Decomposition Theorem

Avallone, Anna and Barbieri, Giuseppina and Vitolo, Paolo:
Central Elements in Pseudo-D-Lattices and Hahn Decomposition Theorem
Bollettino dell'Unione Matematica Italiana Serie 9 3 (2010), fasc. n.3, p. 447-470, (English)
pdf (338 Kb), djvu (208 Kb). | MR 2742776 | Zbl 1229.03053

Sunto

We prove a Hahn decomposition theorem for modular measures on pseudo-D-lattices. As a consequence, we obtain a Uhl type theorem and a Kadets type theorem concerning compactness and convexity of the closure of the range.

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