Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a theorem about Mosco convergence in Hadamard spaces   Let $(f^n),f$ be a sequence of proper closed convex functions defined on a
Hadamard space. We show that the convergence of proximal mappings
$J^n_{\lambda}x$ to $J_{\lambda}x$, under certain additional conditions, imply
Mosco convergence of $f^n$ to $f$. This result is a converse to a theorem of
Bacak about Mosco convergence in Hadamard spaces.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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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: acc-phys
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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: cs
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin