Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces

Autor:	Yanli Liu, Yangyang Xue, Yunan Cui
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Musielak–Orlicz spaces Mazur–Orlicz F-norm F-norm Köthe spaces lower strict monotonicity point lower local uniform monotonicity point Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 4, p 243 (2024)
Druh dokumentu:	article
ISSN:	13040243 2075-1680 30140420
DOI:	10.3390/axioms13040243
Popis:	Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm. The findings outlined in this study extend the scope of geometric characteristics observed in F-normed Orlicz spaces, as well as monotonicity properties within specific F-normed lattices. They are suitable for the Orlicz spaces of ordered continuous elements, specifically in relation to the Mazur–Orlicz F-norm. In addition, in this paper presents results that can be used to derive certain monotonicity properties in F-normed Musielak–Orlicz spaces.
Databáze:	Directory of Open Access Journals
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