Results 41 to 50 of about 7,129 (263)

A note on equivalent conditions for majorization

AIMS Mathematics
In this paper, we introduced novel characterizations of the classical concept of majorization in terms of upper triangular (resp., lower triangular) row-stochastic matrices, and in terms of sequences of linear transforms on vectors.
Roberto Bruno, Ugo Vaccaro
doaj   +1 more source

Positive maps, majorization, entropic inequalities, and detection of entanglement

, 2008
In this paper, we discuss some general connections between the notions of positive map, weak majorization and entropic inequalities in the context of detection of entanglement among bipartite quantum systems.
Alberti P M, Bhatia R, Breuer H-P, de Vicente J, Hall W, Horodecki R, Horodecki R Horodecki P Horodecki M Horodecki K, Hou J-C, J Stasińska, Kraus K, Marshall A W, Nielsen M A, R Augusiak, Rényi A, Tanahasi K   +14 more
core   +2 more sources

Weak majorization inequalities for singular values [PDF]

Operators and Matrices, 2013
In this paper, we refine an inequality due to Bhatia and Kittaneh [Linear Algebra Appl. 308 (2000) 203–211], and generalize another inequality by Bhatia and Kittaneh [Lett. Math. Phys. 43 (1998) 225–231]. Mathematics subject classification (2010): 15A18, 15A42, 47A63.
Limin Zou, Chuanjiang He
openaire   +1 more source

Developing evidence‐based, cost‐effective P4 cancer medicine for driving innovation in prevention, therapeutics, patient care and reducing healthcare inequalities

Molecular Oncology, EarlyView.
The cancer problem is increasing globally with projections up to the year 2050 showing unfavourable outcomes in terms of incidence and cancer‐related deaths. The main challenges are prevention, improved therapeutics resulting in increased cure rates and enhanced health‐related quality of life.
Ulrik Ringborg, Joachim von Braun, Julio Celis, Anton Berns, Michael Baumann, Tit Albreht, Nancy Abou‐Zeid, Vanderlei Bagnato, Christian Brandts, Chien‐Jen Chen, Massimiliano di Pietro, Manjit Dosanjh, Thomas Dubois, Alexander Eggermont, Angelika Eggert, Ingemar Ernberg, Sara Faithfull, Johannes Förner, Stefan Fröhling, Manuel Heitor, Leroy Hood, Wei Jiang, Bengt Jönsson, Ravi Kannan, Maria Leptin, Su Li, Peter Lindgren, Douglas Lowy, Jun Ma, Alex Markham, Péter Nagy, Simon Oberst, M. Iqbal Parker, Danielle Rodin, Kevin Ryan, Joachim Schüz, Richard Sullivan, Josep Tabernero, Peter Turkson, Oliver Várhelyi, Harold Varmus, Chijie Wang, Elisabete Weiderpass, Nils Wilking   +43 more
wiley   +1 more source

A necessary and sufficient condition for the inequality of generalized weighted means

Journal of Inequalities and Applications, 2016
We present in this paper a necessary and sufficient condition to establish the inequality between generalized weighted means which share the same sequence of numbers but differ in the weights.
Mateu Sbert, Jordi Poch
doaj   +1 more source

Some inequalities and majorization for products of τ-measurable operators

Journal of Inequalities and Applications, 2022
In this paper, for a semi-finite von Neumann algebra M $\mathcal{M}$ , we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators.
Zahra Maleki Khouzani, Seyed Mahmoud Manjegani   +1 more
doaj   +1 more source

Local transformations of superpositions of entangled states

, 2009
Suppose that we have two entangled states $\ket {\phi_1}$, $\ket{\psi_1}$ that cannot be converted to any of other two states $\ket{\phi_2}$, $\ket{\psi_2}$ by local operations and classical communication.
Bowen, Cavalcanti, Chattopadhyay, Fan, Ghiu, Gour, Horodecki, Iulia Ghiu, Jonathan, Linden, Nielsen, Nielsen, Niset, Ou, Song, Song, Xiang, Yu   +17 more
core   +1 more source

Jensen's Inequality and majorization

, 2004
Let $\mathcal{A}$ be a $C^*$-algebra and $ :\cA\to L(H)$ be a positive unital map. Then, for a convex function $f:I\to \mathbb{R}$ defined on some open interval and a self-adjoint element $a\in \mathcal{A}$ whose spectrum lies in $I$, we obtain a Jensen's-type inequality $f( (a)) \leq (f(a))$ where $\le$ denotes an operator preorder (usual order ...
Antezana, Jorge, Massey, Pedro, Stojanoff, Demetrio   +2 more
openaire   +2 more sources

Global and Regional Temporal Changes in Cross‐Country Inequalities of Site‐Specific Osteoarthritis Burden, 1990 to 2021

Arthritis Care &Research, EarlyView.
Objective This study examined the global and regional temporal changes in cross‐country inequalities of site‐specific osteoarthritis (OA) burden from 1990 to 2021. Methods Age‐standardized years lived with disability rates (ASYRs) for site‐specific OA across 204 countries and territories were obtained from the Global Burden of Diseases, Injuries, and ...
Haowei Chen, Lei Si, David J. Hunter, Lei Zhang, Zhe‐Sheng Chen, Xiaomeng Wang, Vicky Duong, Zhounan Zhou, Peihua Cao, Han Cen, Su'an Tang, Tianyu Chen, Houjun Xue, Zhaohua Zhu, Changhai Ding   +14 more
wiley   +1 more source

Majorization-Type Integral Inequalities Related to a Result of Bennett with Applications

Mathematics
In this paper, starting from abstract versions of a result of Bennett given by Niculescu, we derive new majorization-type integral inequalities for convex functions using finite signed measures.
László Horváth
doaj   +1 more source