Central Elements in Pseudo-D-Lattices and Hahn Decomposition Theorem

Anna Avallone; Giuseppina Barbieri; Paolo Vitolo

Bollettino dell'Unione Matematica Italiana (2010)

  • Volume: 3, Issue: 3, page 447-470
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Avallone, Anna, Barbieri, Giuseppina, and Vitolo, Paolo. "Central Elements in Pseudo-D-Lattices and Hahn Decomposition Theorem." Bollettino dell'Unione Matematica Italiana 3.3 (2010): 447-470. <http://eudml.org/doc/290642>.

@article{Avallone2010,
abstract = {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.},
author = {Avallone, Anna, Barbieri, Giuseppina, Vitolo, Paolo},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {447-470},
publisher = {Unione Matematica Italiana},
title = {Central Elements in Pseudo-D-Lattices and Hahn Decomposition Theorem},
url = {http://eudml.org/doc/290642},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Avallone, Anna
AU - Barbieri, Giuseppina
AU - Vitolo, Paolo
TI - Central Elements in Pseudo-D-Lattices and Hahn Decomposition Theorem
JO - Bollettino dell'Unione Matematica Italiana
DA - 2010/10//
PB - Unione Matematica Italiana
VL - 3
IS - 3
SP - 447
EP - 470
AB - 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.
LA - eng
UR - http://eudml.org/doc/290642
ER -

References

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