3 papers
math.FA2026
Amalgam approach to compactness in (quasi-)Banach function spaces
Dalimil Peša, Ivan Kotalík
We present amalgam-type characterisations of compactness in quasi-Banach function spaces. We further treat, in the same spirit, several related topics, namely convergence, (uniform…
math.FA2024
Absolute continuity of the (quasi)norm in rearrangement-invariant spaces
Dalimil Peša
This paper explores the interactions of absolute continuity of the (quasi)norm with the concepts that are fundamental in the theory of rearrangement-invariant (quasi-)Banach functi…
math.FA2024
On the properties of rearrangement-invariant quasi-Banach function spaces
Anna Musilová, Aleš Nekvinda, Dalimil Peša +1
This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the…