On the absolute continuity of additive and non-additive functions | Zendy

Paola Cavaliere | Zendy; Anna De Simone | Zendy; Paolo De Lucia | Zendy

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On the absolute continuity of additive and non-additive functions

Author(s) -

Paola Cavaliere,

Anna De Simone,

Paolo De Lucia

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

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