Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 1-Greedy renormings of Garling sequence spaces   Garling sequence spaces admit a renorming with respect to which their
standard unit vector basis is 1-greedy. We also discuss some additional
properties of these Banach spaces related to uniform convexity and
superreflexivity. In particular, our approach to the study of the
superreflexivity of Garling sequence space provides an example of how
essentially non-linear tools from greedy approximation can be used to shed
light into the linear structure of the spaces.

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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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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: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: econ