Results 21 to 30 of about 410 (211)
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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Pure Maps between Euclidean Jordan Algebras [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems.
Abraham Westerbaan +2 more
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Quantum Programs as Kleisli Maps [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Furber and Jacobs have shown in their study of quantum computation that the category of commutative C*-algebras and PU-maps (positive linear maps which preserve the unit) is isomorphic to the Kleisli category of a comonad on the category of commutative C*
Abraham Westerbaan
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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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