Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disjointly homogeneous Orlicz spaces revisited   Let $1\le p\le\infty$. A Banach lattice $X$ is said to be $p$-disjointly
homogeneous or $(p-DH)$ (resp. restricted $(p-DH)$) if every normalized
disjoint sequence in $X$ (resp. every normalized sequence of characteristic
functions of disjoint subsets) contains a subsequence equivalent in $X$ to the
unit vector basis of $\ell_p$. We revisit $DH$-properties of Orlicz spaces and
refine some previous results of this topic, showing that $(p-DH)$-property is
not stable in the class of Orlicz spaces and the classes of restricted $(p-DH)$
and $(p-DH)$ Orlicz spaces are different. Moreover, we give a characterization
of uniform $(p-DH)$ Orlicz spaces and establish also closed connections between
this property and the duality of $DH$-property.

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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph