Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unbounded $p$-convergence in Lattice-Normed Vector Lattices   A net $x_\alpha$ in a lattice-normed vector lattice $(X,p,E)$ is unbounded
$p$-convergent to $x\in X$ if $p(|x_\alpha-x|\wedge u)\xrightarrow{o} 0$ for
every $u\in X_+$. This convergence has been investigated recently for
$(X,p,E)=(X,\lvert\cdot \rvert,X)$ under the name of $uo$-convergence, for
$(X,p,E)=(X,\lVert\cdot\rVert,{\mathbb R})$ under the name of $un$-convergence,
and also for $(X,p,{\mathbb R}^{X^*})$, where $p(x)[f]:=|f|(|x|)$, under the
name $uaw$-convergence. In this paper we study general properties of the
unbounded $p$-convergence.

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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an