On submajorization and eigenvalue inequalities

dc.contributor.author	Bhat, B. V. R.
dc.contributor.author	Chattopadhyay, A.
dc.contributor.author	Kosuru, G. S. R.
dc.date.accessioned	2021-09-28T20:05:37Z
dc.date.available	2021-09-28T20:05:37Z
dc.date.issued	2021-09-29
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/2808
dc.description.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.	en_US
dc.language.iso	en_US	en_US
dc.subject	self-adjoint matrix	en_US
dc.subject	positive semidefinite matrix	en_US
dc.subject	stochastic matrix	en_US
dc.subject	submajorization	en_US
dc.subject	eigenvalues	en_US
dc.subject	singular values	en_US
dc.subject	Schur products	en_US
dc.title	On submajorization and eigenvalue inequalities	en_US
dc.type	Article	en_US