Banach function spaces done right

By E. Lorist, Z. Nieraeth. Indagationes mathematicae, 2023

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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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9dcbaed44037258d6bf386c499408b9cd135ce01