Results 141 to 150 of about 237,012 (170)
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Indecomposable Extreme Positive Linear Maps in Matrix Algebras
Bulletin of the London Mathematical Society, 1994We consider positive linear maps in the matrix algebra \(M_ n(\mathbb{C})\) over the complex field which fix diagonals. Such a map is of the form \[ X\mapsto A\circ X+ B\circ X^{\text{tr}}+ I\circ X,\quad X\in M_ n(\mathbb{C}), \] for self-adjoint matrices \(A\) and \(B\) with zero diagonals, where \(A\circ X\) (respectively \(X^{\text{tr}}\)) denotes ...
Kim, Hong-Jong, Kye, Seung-Hyeok
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Matrix inequalities involving a positive linear map
Linear and Multilinear Algebra, 1996Let A be a Hermitian matrix, let Φ be a normalized positive linear map and let f be a continuous real valued function. Real constants α and β such that are determined. If f is matrix convex then β can be taken to be 1. A unified approach is proposed so that the problem of determining α and β is reduced to solving a single variable convex minimization ...
Chi-Kwong Li, Roy Mathias
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n(G)-nonextendibility of linear positive maps
Reports on Mathematical Physics, 1979Abstract Linear positive maps of C∗-algebras into the algebra of all bounded operators acting on a Hilbert space are considered. A special class of n(G)-nonextendible maps, which contains the class of nonextendible positive maps introduced by S.L. Woronowicz [9], is defined and studied.
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Discrete and Extremal Positive Linear Mappings
Journal of the London Mathematical Society, 1969openaire +1 more source
More operator inequalities for positive linear maps
2017Summary: In this paper, we present some new operator inequality for convex functions. We have obtained a number of Jensen's type inequalities for convex and operator convex functions of self-adjoint operators for positive linear maps. Some results are exemplified for power and logarithmic functions.
Dragomir, Sever S +3 more
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Lymphatic Mapping and Sentinel Node Analysis: Current Concepts and Applications
Ca-A Cancer Journal for Clinicians, 2006Anton J Bilchik
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From genome-wide associations to candidate causal variants by statistical fine-mapping
Nature Reviews Genetics, 2018Daniel J Schaid +2 more
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Fate Mapping via Ms4a3-Expression History Traces Monocyte-Derived Cells
Cell, 2019Zhaoyuan Liu +2 more
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