Results 11 to 20 of about 811,433 (325)
The Generalized Inequalities via Means and Positive Linear Mappings [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we establish further improvements of the Young inequality and its reverse. Then, we assert operator versions corresponding them. Moreover, an application including positive linear mappings is given.
Leila Nasiri, Mehdi Shams
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On a positive linear map preserving absolute values
Linear Algebra and Its Applications, 1997 Suppose M is an n × n (n ⩾ 2) matrix algebra over a C∗-algebra U, and B is a C∗-algebra. If φ : M → B is a positive, disjoint linear map, then φ preserves absolute values.
Leroy B Beasley
exaly +2 more sources
Differential Privacy and the l1 Sensitivity of Positive Linear Observers
, 2017 We consider the design of differentially private observers for positive linear systems in discrete time. In particular, we first provide a general bound for the l1 sensitivity of the map defined by a Luenberger observer for a linear time invariant (LTI ...
McGlinchey, Aisling +3 more
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On positive linear maps between matrix algebras
, 1986 There is a concrete example of a positive linear map from M2 to M4 which is not decomposable. Modification of this map gives an explicit counterexample to a conjecture of Woronowicz on the strong Kadison ...
Tang, Wai-Shing, Wai-Shing Tang
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Cross-positive linear maps, positive polynomials and sums of squares
Journal of AlgebraA linear map $\Phi$ between matrix spaces is called cross-positive if it is positive on orthogonal pairs $(U,V)$ of positive semidefinite matrices in the sense that $\langle U,V\rangle:=\text{Tr}(UV)=0$ implies $\langle \Phi(U),V\rangle\geq0$, and is ...
Šivic, Klemen +2 more
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Characterization of the order relation on the set of completely n-positive linear maps between C*-algebras [PDF]
Surveys in Mathematics and its Applications, 2007 In this paper we characterize the order relation on the set of all nondegenerate completely n-positive linear maps between C*-algebras in terms of a self-dual Hilbert module induced by each completely n-positive linear map.
Maria Joita +2 more
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Positive linear maps between matrix algebras which fix diagonals
, 1995 We consider a class of positive linar maps from the n-dimensional matrix algebra into itself which fix diagonal entries. We show that they are expressed by Hadamard products, and study their decompositions into the sums of completely positive linear maps
Kye, Seung-Hyeok
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Dynamics of a piecewise linear map with a gap
Proceedings of the Royal Society A, 2007 In this paper, we consider periodic solutions of discontinuous non-smooth maps. We show how the fixed points of a general piecewise linear map with a discontinuity ('a map with a gap') behave under parameter variation.
Griffin, TCL, Hogan, SJ, Higham, L
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Gruess inequality for some types of positive linear maps
Journal of Operator Theory, 2015 Assuming a unitarily invariant norm $|||\cdot|||$ is given on a two-sided ideal of bounded linear operators acting on a separable Hilbert space, it induces some unitarily invariant norms $|||\cdot|||$ on matrix algebras $\mathcal{M}_n$ for all finite values of $n$ via $|||A|||=|||A\oplus 0|||$. We show that if $\mathscr{A}$ is a $C^*$-algebra of finite
Matharu, Jagjit Singh +1 more
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On positive linear maps preserving invertibility
Journal of Functional Analysis, 1984 A positive linear map \(\Phi\) between two \(C^*\)-algebras is a Jordan homomorphism if \(\Phi\) preserves invertibility and the range of \(\Phi\) is a \(C^*\)-algebra. A counterexample is given for the case that the range of \(\Phi\) is not assumed to be a \(C^*\)-algebra; this answers a question raised by \textit{B. Russo} [Proc. Am. Math. Soc.
Choi, M-D. +4 more
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