Results 11 to 20 of about 459,027 (261)
The Non-m-Positive Dimension of a Positive Linear Map [PDF]
Quantum, 2019 We introduce a property of a matrix-valued linear map $\Phi$ that we call its ``non-m-positive dimension'' (or ``non-mP dimension'' for short), which measures how large a subspace can be if every quantum state supported on the subspace is non-positive ...
Nathaniel Johnston +2 more
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On the positive linear set valued maps [PDF]
Miskolc Mathematical Notes, 2013 In this paper positive linear set valued maps defined on the cone are studied. The representation theorem for positive linear set valued maps is given and Lipschitz continuity of these maps is proved. The estimations of upper and lower norms of the positive linear set valued maps are obtained.
Huseyin, Anar, Huseyin, Nesir
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Exponential Inequalities for Positive Linear Mappings [PDF]
Journal of Function Spaces, 2018 In this article, we present exponential-type inequalities for positive linear mappings and Hilbert space operators, by means of convexity and the Mond-Pečarić method. The obtained results refine and generalize some known results. As an application, we present extensions for operator-like geometric and harmonic means inequalities.
Mohammad Sababheh +2 more
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Tracial Positive Linear Maps of C ∗ -Algebras [PDF]
Proceedings of the American Mathematical Society, 1983 A positive linear map Φ : A
Choi, Man-Duen, Tsui, Sze-Kai
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Pinchings and positive linear maps
Journal of Functional Analysis, 2016 We employ the pinching theorem, ensuring that some operators A admit any sequence of contractions as an operator diagonal of A, to deduce/improve two recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional expectations onto a masa in the algebra of operators on a Hilbert space. We also get a few results for sums in a unitary orbit.
Bourin, Jean-Christophe, Lee, Eun-Young
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Some refinements of operator reverse AM-GM mean inequalities
Journal of Inequalities and Applications, 2017 In this paper, we prove the operator inequalities as follows: Let A , B $A,B$ be positive operators on a Hilbert space with 0 < m ≤ A , B ≤ M $0 < m \le A,B \le M$ and M m ≤ 2.314 $\sqrt{\frac{M}{m}} \le2.314$ .
Jianming Xue
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Certain integral inequalities involving tensor products, positive linear maps, and operator means
Journal of Inequalities and Applications, 2016 We present a number of integral inequalities involving tensor products of continuous fields of bounded linear operators, positive linear maps, and operator means.
Pattrawut Chansangiam
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On the Russo-Dye Theorem for positive linear maps [PDF]
Linear Algebra and its Applications, 2019 We revisit a classical result, the Russo-Dye Theorem, stating that every positive linear map attains its norm at the identity.
Bourin, Jean-Christophe, Lee, Eun-Young
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Some reverse mean inequalities for operators and matrices
Journal of Inequalities and Applications, 2019 In this paper, we present some new reverse arithmetic–geometric mean inequalities for operators and matrices due to Lin (Stud. Math. 215:187–194, 2013).
Chaojun Yang, Yaxin Gao, Fangyan Lu
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A Class of Linear Positive Maps in Matrix Algebras [PDF]
Open Systems & Information Dynamics, 2003 A class of linear positive, trace preserving maps in Mn is given in terms of affine maps in ℝn2−1 which map the closed unit ball into itself.
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