Please use this identifier to cite or link to this item: 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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