Some results on singular value inequalities of compact operators in Hilbert space

zbMATH Open1399.47048arXiv1510.00114MaRDI QIDQ5367259

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Publication date: 12 October 2017

Abstract: We prove several singular value inequalities for sum and product of compact operators in Hilbert space. Some of our results generalize the previous inequalities for operators. Also, applications of some inequalities are given.

Full work available at URL: https://arxiv.org/abs/1510.00114

zbMATH Keywords

compact operatornormal operatorsingular valueunitarily invariant normSchatten \(p\)-norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (2)

Some generalizations for singular value inequalities of compact operators ⋮ Young's (in)equality for compact operators

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