Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalent norms with the property $(\beta)$ of Rolewicz   We extend to the non separable setting many characterizations of the Banach
spaces admitting an equivalent norm with the property $(\beta)$ of Rolewicz.
These characterizations involve in particular the Szlenk index and
asymptotically uniformly smooth or convex norms. This allows to extend easily
to the non separable case some recent results from the non linear geometry of
Banach spaces.

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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys