Monotonicity of Orlicz Function Space-equipped with S-norm

Monotonicity of Orlicz Function Space-equipped with S-norm

Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces. Using these properties， we obtained the criteria for strict monotonicity and upper local uniformly monotonic...

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Bibliographic Details
Main Authors: WANG Jun-ming, TONG Qiu-yi
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2021-06-01
Series:Journal of Harbin University of Science and Technology
Subjects:
s-convex function
orlicz spaces
monotonicity
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1969
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Summary:Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces. Using these properties， we obtained the criteria for strict monotonicity and upper local uniformly monotonicity in Orlicz spaces equipped with s-norm.
ISSN:1007-2683

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