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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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Mapping precipitation-corrected NDVI trends across Namibia.
Science of the Total Environment, 2019Savannas comprise a major component of the Earth system and contribute ecosystem services and functions essential to human livelihoods. Monitoring spatial and temporal trends in savanna vegetation and understanding change drivers is therefore crucial ...
Vladimir R. Wingate, S. Phinn, N. Kuhn
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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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On Ulam Stability of the Inhomogeneous Version of the General Linear Functional Equation
Results in Mathematics, 2023Chaimaa Benzarouala +3 more
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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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A Lagrange duality approach to state-feedback stabilisability in switched positive linear systems
International Journal of Control, 2015F. Najson
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An individual ergodic theorem for positive linear mapping of von Neumann algebras
, 1980M. S. Gol'dshtein
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