Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operator ideals related to absolutely summing and Cohen strongly summing
  operators   We study the ideals of linear operators between Banach spaces determined by
the transformation of vector-valued sequences involving the new sequence space
introduced by Karn and Sinha \cite{karnsinha} and the classical spaces of
absolutely, weakly and Cohen strongly summable sequences. As applications, we
prove a new factorization theorem for absolutely summing operators and a
contribution to the existence of infinite dimensional spaces formed by
non-absolutely summing operators is given.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an