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Banach function spaces done right

Review (2024)
Author(s)

E. Lorist (TU Delft - Analysis)

Zoe Nieraeth (BCAM Basque Center for Applied Mathematics)

Research Group
Analysis
DOI related publication
https://doi.org/10.1016/j.indag.2023.11.004
More Info
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Publication Year
2024
Language
English
Research Group
Analysis
Issue number
2
Volume number
35
Pages (from-to)
247-268
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Abstract

In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues introduced by other, subsequent definitions. Moreover, we prove versions of well-known basic properties of Banach function spaces in the setting of quasi-Banach function spaces.