Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of POWERS-ST{\O}RMER inequality   Let $A,\;B$ be the positive semidefinite matrices. A matrix version of the
famous Powers-St{\o}rmer's inequality $$2Tr(A^\alpha B^{1-\alpha})\geq
Tr(A+B-|A-B|),\;\;\;0\leq\alpha\leq 1,$$ was proven by Audenaert et. al. We
establish a comparison of eigenvalues for the matrices $A^\alpha B^{1-\alpha}$
and $A+B-|A-B|, \; 0 \leq \alpha \leq 1,$ subsuming the Powers-St{\o}rmer's
inequality. We also prove several related norm inequalities.

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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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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: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga