Hahn decomposition of modular measures and applications

• Autorzy: Avallone A. , Barbieri G. , Vitolo P.
• Języki publikacji: EN

Abstrakty

EN

We prove a Hahn decomposition theorem for [ro]-additive modular measures on [ro]-complete lattice ordered effect algebras. As a consequence, we establish an isomorphism between the space of all bounded real-valued modular measures on a such structure and the space of all completely additive measures on a suitable Boolean algebra. Another consequence is a Uhl type theorem concerning relative compactness and convexity of the range of nonatomic modular measures with values in Banach spaces.

Słowa kluczowe

EN

modular measures; effect algebras; Hahn decomposition; range

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2003
• Tom: [Z] 43(2)
• Strony: 149--168
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Avallone A.

• Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana. 85100 Potenza (Italy)

autor

Barbieri G.

• Dipartimento di Matematica e Informatica, Università di Udine, Via delle Scienze, 206. 33100 Udine

autor

Vitolo P.

• Dipartimento di Matematica, Università della Basilicata, Contrada Macchia Romana. 85100 Potenza (Italy)

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