TY - JOUR
T1 - Banach function spaces done right
AU - Lorist, Emiel
AU - Nieraeth, Zoe
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - Banach function space
UR - http://www.scopus.com/inward/record.url?scp=85179661486&partnerID=8YFLogxK
U2 - 10.1016/j.indag.2023.11.004
DO - 10.1016/j.indag.2023.11.004
M3 - Review article
AN - SCOPUS:85179661486
SN - 0019-3577
VL - 35
SP - 247
EP - 268
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
IS - 2
ER -