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Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm

Authors: XU Anqi; CUI Yunan;

Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm

Abstract

The smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms. In this paper, we provide necessary and sufficient conditions for smoothness of Musielak-Orlicz function spaces equipped with p-Amemiya norm.

Keywords

musielak-orlicz function space, Technology, T, Science, Q, dual space; smoothness, p-amemiya norm, strict convexity

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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