Results 11 to 20 of about 438,174 (168)
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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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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Some generalizations of operator inequalities for positive linear maps
Journal of Inequalities and Applications, 2016 In this paper, we generalize some operator inequalities for positive linear maps due to Lin (Stud. Math. 215:187-194, 2013) and Zhang (Banach J. Math. Anal. 9:166-172, 2015).
Jianming Xue, Xingkai Hu
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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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Extreme n-positive linear maps [PDF]
Proceedings of the Edinburgh Mathematical Society, 1993 In this article we prove that if a completely positive linear map Φ of a unital C*-algebra A into another B with only finite dimensional irreducible representations is pure, then we have NΦ = Φker + kerΦ, where NΦ={x∈A|Φ(x) = 0}, Φker = {x∈A|Φ(x*x) = 0}, and kerΦ={x∈A|Φ(xx*) = 0}.
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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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Positive linear maps on normal matrices [PDF]
International Journal of Mathematics, 2018 For a positive linear map [Formula: see text] and a normal matrix [Formula: see text], we show that [Formula: see text] is bounded by some simple linear combinations in the unitary orbit of [Formula: see text]. Several elegant sharp inequalities are derived, for instance for the Schur product of two normal matrices [Formula: see text], [Formula: see ...
Jean-Christophe Bourin, Eun-Young Lee
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More inequalities for positive linear maps [PDF]
Journal of Mathematical Inequalities, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharma, Rajesh, Thakur, A.
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Complete positivity of mapping valued linear maps
Mathematische Zeitschrift, 1988 We consider the matrix order structure of ordered Banach space. This notion is an extended version of the order structure of a \(C^ *\)- algebra or a predual of von Neumann algebra induced by the cone of its positive elements. Corresponding to the case that the associated algebra is abelian, we introduce the notion, a matrix ordered Banach space of ...
Itoh, Takashi, Nagisa, Masaru
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