Results 11 to 20 of about 332,865 (265)
Rank 2 preservers on symmetric matrices with zero trace [PDF]
Let F be a field, V1 and V2 be vector spaces of matrices over F and let ρ be the rank function. If T :V1 → V2 is a linear map, and k a fixed positive integer, we say that T is a rank k preserver if for any matrix Aϵ, V1 ρ(A) = k implies ρ(T( A))= k .
Kok Wai Keong
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Pinchings and positive linear maps
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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Certain integral inequalities involving tensor products, positive linear maps, and operator means
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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Can the Flap of a Butterfly’s Wings Shift a Tornado into Texas—Without Chaos?
In our title, “chaos” means there is a positive Lyapunov exponent that causes the tornado to move. We are asserting that a positive Lyapunov exponent is not always needed to have a butterfly effect.
Yoshitaka Saiki, James A. Yorke
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We investigate the dynamics of open quantum systems which are initially correlated with their environment. The strategy of our approach is to analyze how given, fixed initial correlations modify the evolution of the open system with respect to the ...
Alessandra Colla +2 more
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Further Improved Weighted Arithmetic-Geometric Operator Mean Inequalities
The main purpose of this paper is to present some weighted arithmetic-geometric operator mean inequalities. These inequalities are refinements and generalizations of the corresponding results.
Jianming Xue, Xingkai Hu
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New Refinement of the Operator Kantorovich Inequality
We focus on the improvement of operator Kantorovich type inequalities. Among the consequences, we improve the main result of the paper [H.R. Moradi, I.H. Gümüş, Z.
Hamid Reza Moradi +2 more
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Background: Obesity is a growing health problem worldwide across all age groups and is associated with a number of disease conditions out of which cardiovascular diseases and metabolic syndrome are prominent.
Aparajita Priyadarshini +2 more
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(1) Background: paratuberculosis is an important disease in ruminants, causing worldwide economic losses to the livestock industry. Although vaccination is known not to prevent transmission of the causative agent Mycobacterium avium subsp ...
Fabien Corbiere +5 more
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On the Russo-Dye Theorem for positive linear maps [PDF]
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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