Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds of numerical radius of bounded linear operator using $t$-Aluthge
  transform   We develop a number of inequalities to obtain bounds for the numerical radius
of a bounded linear operator defined on a complex Hilbert space using the
properties of $t$-Aluthge transform. We show that the bounds obtained are
sharper than the existing bounds.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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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: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph