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@inproceedings{Dragomir2018SomeIF, title={Some inequalities for trace class operators via a Kato’s result}, author={Silvestru Sever Dragomir}, year={2018} }

- Published 2018
DOI:10.1142/S1793557118500043

By the use of the celebrated Katos 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