Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kernels of Hilbert Module Maps: A Counterexample   Answering a long standing question, we give an example of a Hilbert module
and a nonzero bounded right linear map having a kernel with trivial orthogonal
complement. In particular, this kernel is different from its own double
orthogonal complement.

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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th