Results 271 to 280 of about 458,761 (298)

Non-Linear Completely Positive Maps

1986
Publisher Summary This chapter describes a general notion of complete positivity for (nonlinear) maps between C*-algebras, which reduces to the usual complete positivity in the case of linear maps. Every completely positive map is uniquely decomposed to ones with mixed homogenuity, each of which can be represented by means of *-representations, just ...
T. Ando, M.-D. Choi
openaire   +1 more source

Indecomposable Extreme Positive Linear Maps in Matrix Algebras

Bulletin of the London Mathematical Society, 1994
We 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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Positive Linear Maps and the Lyapunov Equation

2002
It is well-known that positivity plays an important role in the study of the discrete time and the continuous time Lyapunov equations. We show how general theorems on positive linear maps on matrices may be used in this context. Our method leads to several old, recent, and new bounds on the sensitivity of these equations.
Rajendra Bhatia, Ludwig Elsner
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On a class of linear maps and their positive invertibility

Russian Mathematical Surveys, 1996
Let \(X\) and \(Y\) be separable locally convex topological spaces, \(E\) a subspace of \(X\). The author considers the class \(\Omega\) of linear maps \(T_{\alpha}: E \rightarrow Y\) (with domain of definition \(D(T_{\alpha})=E\) and taking values in \(Y\)) of the form \(T_{\alpha}=B-A_{\alpha}\) under the assumption that \(\Omega\) contains at least ...
openaire   +2 more sources

Some inequalities involving eigenvalues and positive linear maps

Advances in Operator Theory, 2023
Ravinder Kumar, Rajesh Sharma
exaly  

New Developments on Operator Reverse AM-GM Inequality for Positive Linear Maps

Acta Mathematica Sinica, English Series, 2022
Ilyas Ali, Mushtaq Muhammad
exaly  

Discrete and Extremal Positive Linear Mappings

Journal of the London Mathematical Society, 1969
openaire   +1 more source

Inequalities for the Heinz mean of sector matrices involving positive linear maps

Annals of Functional Analysis, 2020
Fangyan Lu, Lu Fangyan
exaly  

Morita Equivalences for Completely Positive Linear Maps and GNS-C*-Correspondences

Bulletin of the Iranian Mathematical Society, 2023
Kazunori Kodaka
exaly  

Facial Structures for Decomposable Positive Linear Maps in Matrix Algebras

Positivity, 2005
Seung-Hyeok Kye, Kye Seung-Hyeok
exaly