Exploration of indispensable Banach-space valued functions

Exploration of indispensable Banach-space valued functions

In the paper, we present a necessary and sufficient condition for the existence of a sequence of measurable functions with finite values, which converge to any given essential bounded function in the topology of essential supremum in a Banach space. A new convergence method is proposed, which allows...

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Bibliographic Details
Main Authors: Yiheng Hu, Gang Lyu, Yuanfeng Jin, Qi Liu
Format: Article
Language:English
Published: AIMS Press 2023-10-01
Series:AIMS Mathematics
Subjects:
essential bounded banach-valued function
sequential compactness
uniform convergence
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231416?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231416?viewType=HTML

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