Convergence and decompositions for 1-group-valued set functions

• Autorzy: Boccuto A. , Candeloro D.
• Języki publikacji: EN

Abstrakty

EN

Absolute continuity, singularity and Lebesgue decompositions are studied, in the context of the so-called RD-convergence, for finitely and/or σ-additive measures taking values in super-Dedekind complete l-groups. By means of a Vitali-Hahn-Saks-Nikodým result, found in [4], we deduce a convergence theorem for the Lebesgue decompositions of an RD-convergent sequence of finitely additive measures.

Słowa kluczowe

EN

l-groups; uniform s-boundedness; Vitali-Hahn-Saks-Nikodým theorems; Lebesgue decomposition

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 1
• Strony: 11--38
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Boccuto A.

• Dipartimento di Matematica e Informatica, via Vanvitelli, 1 I-06123 Perugia, Italy

autor

Candeloro D.

• Dipartimento di Matematica e Informatica, via Vanvitelli, 1 I-06123 Perugia, Italy

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