Results 11 to 20 of about 1,333,113 (282)

Tracial Positive Linear Maps of C ∗ -Algebras [PDF]

Proceedings of the American Mathematical Society, 1983
A positive linear map Φ : A → B \Phi :\mathfrak {A} \to \mathfrak {B} between two C ∗ {C^ * } -algebras is said to be tracial if Φ ( A 1
Choi, Man-Duen, Tsui, Sze-Kai
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Non-linear monotone positive maps

Journal of Operator Theory, 2021
e study several classes of general non-linear positive maps between C∗-algebras, which are not necessary completely positive maps. We characterize the class of the compositions of ∗-multiplicative maps and positive linear maps as the class of non-linear maps of boundedly positive type abstractly.
Nagisa, Masaru, Watatani, Yasuo
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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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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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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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