Some singular value and unitarily invariant norm inequalities for Hilbert space operators
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In this paper, we prove some singular value inequalities for sum and product of operators. Also, we obtain several generalizations of recent inequalities. Moreover, as applications we establish some unitarily invariant norm and trace inequalities for operators which provide refinements of previous results.
KeywordsSingular value inequality Unitarlily invariant norm Hermite-Hadamard inequality
Mathematics Subject Classification47A63 15A60 47B05 47B10
This work was written whilst the second author was visiting Victoria University. He is grateful for the support and hospitality.