Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Majorization and arithmetic mean ideals   Following "An infinite dimensional Schur-Horn theorem and majorization
theory", Journal of Functional Analysis 259 (2010) 3115-3162, this paper
further studies majorization for infinite sequences. It extends to the infinite
case classical results on "intermediate sequences" for finite sequence
majorization. These and other infinite majorization properties are then linked
to notions of infinite convexity and invariance properties under various
classes of substochastic matrices to characterize arithmetic mean closed
operator ideals and arithmetic mean at infinity closed operator ideals.

6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th