Published: 2023-12-13
Language: EN

On almost everywhere K-additive set-valued maps

Eliza Jabłońska Logo ORCID

Abstract

Let X be an Abelian group, Y be a commutative monoid, KY be a submonoid and F:X→2Y\{∅} be a set-valued map. Under some additional assumptions on ideals ????1 in X and ????2 in X^2, we prove that if F is ????2-almost everywhere K-additive, then there exists a unique up to K K-additive set-valued map G:X→2Y\{∅} such that F=G ????1-almost everywhere in X. Our considerations refers to the well known de Bruijn’s result [1].

(EN)

Download files

Citation rules

Jabłońska, E. (2023). On almost everywhere K-additive set-valued maps. Annales Mathematicae Silesianae, 38(1), 29–36. Retrieved from https://trrest.vot.pl/ojsus/index.php/AMSIL/article/view/16500

Domyślna okładka

Vol. 38 No. 1 (2024)
Published: 2024-03-27


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

This website uses cookies for proper operation, in order to use the portal fully you must accept cookies.