More on the extension of linear operators on Riesz spaces

The classical Kantorovich theorem asserts the existence and uniqueness of a linear extension of a positive additive mapping, defined on the positive cone $E^+$ of a Riesz space $E$ taking values in an Archimedean Riesz space $F$, to the entire space $E$. We prove that, if $E$ has the principal proje...

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Bibliographic Details
Main Authors: O.G. Fotiy, A.I. Gumenchuk, M.M. Popov
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2022-07-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/5318