Banach function spaces done right

Emiel Lorist*, Zoe Nieraeth

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

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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.

Original languageEnglish
Pages (from-to)247-268
Number of pages22
JournalIndagationes Mathematicae
Issue number2
Publication statusPublished - 2024


  • Banach function space


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