Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Remarks on j-eigenfunctions of operators   The paper is largely concerned with the possibility of obtaining a series
representation for a compact linear map $T$ acting between Banach spaces. It is
known that, using the notions of $j-$eigenfunctions and $j-$% eigenvalues, such
a representation is possible under certain conditions on $T$. Particular cases
discussed include those in which $T$ can be factorised through a Hilbert space,
or has certain $s$-numbers that are fast-decaying. The notion of
$p-$compactness proves to be useful in this context; we give examples of maps
that possess this property.

13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat