Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some inclusion results for interpolated summing operator ideals and
  integrability improvement of vector valued functions   Consider a Banach space valued measurable function $f$ and an operator $u$
from the space where {$f$} takes values. If $f $ is Pettis integrable, a
classical result due to J. Diestel shows that composing it with $u$ gives a
Bochner integrable function $u \circ f$ whenever $u$ is absolutely summing. In
a previous work we have shown that a well-known interpolation technique for
operator ideals allows to prove under some requirements that a composition of a
$p$-Pettis integrable function with a $q$-summing operator provides an
$r$-Bochner integrable function. In this paper a new abstract inclusion theorem
for classes of {abstract} summing operators is shown and applied to the class
of interpolated operator ideals. Together with the results of the
{aforementioned} paper, it provides more results on the relation about the
integrability of the function $u \circ f$ and the summability properties of
$u$.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
18
The categories of this paper are: econ