Graziano, Maria Gabriella:
Some problems for measures on non-standard algebraic structures
Bollettino dell'Unione Matematica Italiana Serie 8 3-B (2000), fasc. n.3, p. 673-686, Unione Matematica Italiana (English)
pdf (252 Kb), djvu (182 Kb). | MR1801612 | Zbl 0991.28003
Sunto
Nell'ultimo ventennio tutta una serie di lavori è stata rivolta allo studio delle misure su strutture algebriche più generali delle algebre di Boole, come i poset e i reticoli ortomodulari, le effect algebras, le BCK-algebras. La teoria così ottenuta interessa l'analisi funzionale, il calcolo delle probabilità e la topologia, più recentemente la teoria delle decisioni. Si presentano alcuni risultati relativi a misure su strutture algebriche non-standard analizzando, in particolare, gli aspetti topologici e geometrici che intervengono nei teoremi di decomposizione e prolungamento.
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Con il contributo del Ministero per i Beni e le Attività Culturali