Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the properties of quasi-Banach function spaces   In this paper we explore some basic properties of quasi-Banach function
spaces which are important in applications. Namely, we show that they posses a
generalised version of Riesz--Fischer property, that embeddings between them
are always continuous and that the dilation operator is bounded on them. We
also provide a characterisation of separability for quasi-Banach function
spaces over the Euclidean space. Furthermore, we extend the classical
Riesz--Fischer theorem to the context of quasinormed spaces and, as a
consequence, obtain an alternative proof of completeness of quasi-Banach
function spaces.

14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys