Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Complementary Inequality to the Information Monotonicity for Tsallis
  Relative Operator Entropy   We establish a reverse inequality for Tsallis relative operator entropy
involving a positive linear map. In addition, we present converse of Ando's
inequality, for each parameter. We give examples to compare our results with
the known results by Furuta and Seo. In particular, we establish an extension
and a reverse of the L\"owner-Heinz inequality under certain condition. Some
interesting consequences of inner product spaces and norm inequalities are also
presented.

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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph