Rajarama Bhat, B.V. ; Chattopadhyay, Arup ; Kosuru, G. Sankara Raju (2015) On submajorization and eigenvalue inequalities Linear and Multilinear Algebra, 63 (11). pp. 2245-2253. ISSN 0308-1087
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Official URL: http://doi.org/10.1080/03081087.2014.1000817
Related URL: http://dx.doi.org/10.1080/03081087.2014.1000817
Abstract
Let be the algebra of complex matrices and let be a completely positive map. Suppose is a self-adoint matrix. We prove a submajorization result concerning positive and negative parts of the spectrum of . As a consequence, we obtain inequalities concerning the smallest and the largest eigenvalues of the Schur product of and , where and are self-adjoint.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| ID Code: | 133707 |
| Deposited On: | 30 Dec 2022 04:23 |
| Last Modified: | 09 Jan 2023 08:12 |
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