Open AccessOn the absolute continuity of additive and non-additive functions
Author(s) -
Paola Cavaliere,
Paolo De Lucia,
Anna De Simone
Publication year - 2014
Publication title -
functiones et approximatio commentarii mathematici
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 15
eISSN - 2080-9433
pISSN - 0208-6573
DOI - 10.7169/facm/2014.50.1.7
Subject(s) - mathematics , hausdorff space , absolute continuity , pure mathematics , commutative property , absolute (philosophy) , equivalence (formal languages) , epistemology , philosophy
We are concerned with the notions of absolute continuity (in terms of zero-continuity and of epsilon-delta-continuity) of a function with respect to a finitely additive one taking values into a topological commutative group.\udA sufficient condition for their equivalence is established. The non-additive case of functions with values into Hausdorff topological spaces is also investigated