Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizations of Ordered Self-adjoint Operator Spaces   In this paper, we generalize the work of Werner and others to develop two
abstract characterizations for self-adjoint operator spaces. The corresponding
abstract objects can be represented as self-adjoint subspaces of $B(H)$ in such
a way that both a metric structure and an order structure are preserved at each
matrix level. We demonstrate a generalization of the Arveson Extension Theorem
in this context. We also show that quotients of self-adjoint operator spaces
can be endowed with a compatible operator space structure and characterize the
kernels of completely positive completely bounded maps on self-adjoint operator
spaces.

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The categories of this paper are: chem-ph
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The categories of this paper are: eess
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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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: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int