Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Ball Dentable Property in Banach Spaces   In this work, we introduce the notion of Ball dentable property in Banach
spaces. We study certain stability results for the $w^*$-Ball dentable property
leading to a discussion on Ball dentability in the context of ideals of Banach
spaces. We prove that the $w^*$-Ball-dentable property can be lifted from an
$M$-ideal to the whole Banach Space. We also prove similar results for strict
ideals of a Banach space. We note that the space $C(K,X)^*$ has $w*$-Ball
dentable property when $K$ is dispersed and $X^\ast$ has the $w^*$-Ball
dentable property.

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The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph