Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unconditionality in tensor products and ideals of polynomials,
  multilinear forms and operators   We study tensor norms that destroy unconditionality in the following sense:
for every Banach space $E$ with unconditional basis, the $n$-fold tensor
product of $E$ (with the corresponding tensor norm) does not have unconditional
basis. We establish an easy criterion to check weather a tensor norm destroys
unconditionality or not. Using this test we get that all injective and
projective tensor norms different from $\varepsilon$ and $\pi$ destroy
unconditionality, both in full and symmetric tensor products. We present
applications to polynomial ideals: we show that many usual polynomial ideals
never enjoy the Gordon-Lewis property. We also consider the unconditionality of
the monomial basic sequence. Analogous problems for multilinear and operator
ideals are addressed.

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The categories of this paper are: comp-gas
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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: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio