Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variants of the James Tree space   Recently, W. Cuellar Carrera, N. de Rancourt, and V. Ferenczi introduced the
notion of $d_2$-hereditarily indecomposable Banach spaces, i.e., non-Hilbertian
spaces that do not contain the direct sum of any two non-Hilbertian subspaces.
They posed the question of the existence of such spaces that are
$\ell_2$-saturated. Motivated by this question, we define and study two
variants $JT_{2,p}$ and $JT_G$ of the James Tree space $JT$. They are meant to
be classical analogues of a future space that will affirmatively answer the
aforementioned question.

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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: hep-th