Inequalities for sums and direct sums of Hilbert space operators |
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| Authors: | Omar Hirzallah |
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| Institution: | a Department of Mathematics, Hashemite University, Zarqa, Jordan
b Department of Mathematics, University of Jordan, University of Jordan Street, Amman 11942, Jordan |
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| Abstract: | We prove several singular value inequalities and norm inequalities involving sums and direct sums of Hilbert space operators. It is shown, among other inequalities, that if X and Y are compact operators, then the singular values of  are dominated by those of X ⊕ Y. Applications of these inequalities are also given. |
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| Keywords: | 47A30 47A63 47B10 47B15 |
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