Geodesic
Some Trace Inequalities for Operators in Hilbert Spaces
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 33 .

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Some new trace inequalities for operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated and applications for power series of such operators are given. Some trace inequalities for matrices are also derived. Examples for the operator exponential and other similar functions are presented as well.
Classification : 47A63 47A99
Keywords: Trace class operators, Hilbert-Schmidt operators, trace, Schwarz inequality, trace inequalities for matrices, power series of operators 
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     author = {Silvestru Sever Dragomir},
     title = {Some {Trace} {Inequalities} for {Operators} in {Hilbert} {Spaces}},
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Silvestru Sever Dragomir. Some Trace Inequalities for Operators in Hilbert Spaces. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 33 . http://geodesic.mathdoc.fr/item/KJM_2017_41_1_a1/