On linear sections of orthogonally additive operators

Our first result asserts that, for linear regular operators acting from a Riesz space with the principal projection property to a Banach lattice with an order continuous norm, the $C$-compactness is equivalent to the $AM$-compactness. Next we prove that, under mild assumptions, every linear section...

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Bibliographic Details
Main Authors: A. Gumenchuk, I. Krasikova, M. Popov
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2022-10-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/332
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