Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification for 2-isometries of noncommutative Lp-spaces   In this paper we extend previous results of Banach, Lamperti and Yeadon on
isometries of Lp-spaces to the non-tracial case first introduced by Haagerup.
Specifically, we use operator space techniques and an extrapolation argument to
prove that every 2-isometry T : Lp(M) to Lp(N) between arbitrary noncommutative
Lp-spaces can always be written in the form T(phi^{1/p}) = w (phi circ pi^{-1}
circ E)^{1/p}, for phi in M_*^+. Here pi is a normal *-isomorphism from M onto
the von Neumann subalgebra pi(M) of N, w is a partial isometry in N, and E is a
normal conditional expectation from N onto pi(M). As a consequence of this, any
2-isometry is automatically a complete isometry and has completely
contractively complemented range.

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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci