Some inequalities for trace class operators via a Kato’s result

@inproceedings{Dragomir2018SomeIF,
  title={Some inequalities for trace class operators via a Kato’s result},
  author={Silvestru Sever Dragomir},
  year={2018}
}
By the use of the celebrated Kato’s inequality we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space H: Natural applications for functions de…ned by power series of normal operators are given as well. 1. Introduction We denote by B (H) the Banach algebra of all bounded linear operators on a complex Hilbert space (H; h ; i) : If P is a positive selfadjoint operator on H; i.e. hPx; xi 0 for any x 2 H; then the following inequality is a generalization… CONTINUE READING

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