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http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/2808| Title: | On submajorization and eigenvalue inequalities |
| Authors: | Bhat, B. V. R. Chattopadhyay, A. Kosuru, G. S. R. |
| Keywords: | self-adjoint matrix positive semidefinite matrix stochastic matrix submajorization eigenvalues singular values Schur products |
| Issue Date: | 29-Sep-2021 |
| Abstract: | Let Mn be the C∗ algebra of n × n complex matrices and let ϕ : Mn → Mn be a completely positive map. Suppose A ∈ Mn is a self-adoint matrix. We prove a submajorization result concerning positive and negative parts of the spectrum of ϕ(A). As a consequence, we obtain inequalities concerning the smallest and the largest eigenvalues of the Schur product of A and B, where A and B are self-adjoint. |
| URI: | http://localhost:8080/xmlui/handle/123456789/2808 |
| Appears in Collections: | Year-2015 |
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