Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Joint numerical ranges and compressions of powers of operators   We identify subsets of the joint numerical range of an operator tuple in
terms of its joint spectrum. This result helps us to transfer weak convergence
of operator orbits into certain approximation and interpolation properties for
powers in the uniform operator topology. This is a far-reaching generalization
of one of the main results in our recent paper posted as arXiv:1607.00040.
Moreover, it yields an essential (but partial) generalization of Bourin's
"pinching" theorem. It also allows us to revisit several basic results on joint
numerical ranges, provide them with new proofs and find a number of new
results.

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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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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: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph