Results 51 to 60 of about 1,511,858 (279)
Some inequalities for positive linear maps
Linear Algebra and its Applications, 2012 Let \(M_{n}( \mathbb{C} )\) be the algebra of all \(n\times n\) complex matrices and let \(\phi :M_{n}( \mathbb{C} )\rightarrow M_{n}( \mathbb{C} )\) be a positive unital map. The authors prove that if \(A\in M_{n}( \mathbb{C} )\), then \[ \phi (A^{\ast }A)-\phi (A)^{\ast }\phi (A)\leq \inf_{z\in \mathbb{C} }\left\| A-z\right\|.
Bhatia, Rajendra, Sharma, Rajesh
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
On the nonlinearity of quantum dynamical entropy
, 2018 Linearity of a dynamical entropy means that the dynamical entropy of the n-fold composition of a dynamical map with itself is equal to n times the dynamical entropy of the map for every positive integer n.
Androulakis, George, Wright, Duncan
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Clinical Insights Into Hypercalcemia of Malignancy in Childhood
Pediatric Blood &Cancer, EarlyView.ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
wiley +1 more source
Remarks on an operator Wielandt inequality
, 2015 Let $A$ be a positive operator on a Hilbert space $\mathcal{H}$ with $00.$$ We consider several upper bounds for $\frac{1}{2}|\Gamma+\Gamma^{*}|$.
Zhang, Pingping
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Extreme positive linear maps onC *-algebras
Mathematische Zeitschrift, 1988 Let A be a unital \(C^ *\)-algebra and let B be a von Neumann algebra. Let S(A,B) be the convex set of unital positive linear maps between A and B. We prove that the extreme points of S(A,B) are exactly the unital algebra homomorphisms if and only if A is abelian and, either B is abelian or dim A\(
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Arteriovenous malformations (AVMs) are rare, high‐flow, vascular anomalies that can occur either sporadically or as part of a genetic syndrome. AVMs can progress with serious morbidity and even mortality if left unchecked. Sirolimus is an mTOR inhibitor that is effective in low‐flow vascular malformations; however, its role in AVMs is unclear.
Will Swansson +3 more
wiley +1 more source
Distinguishing between statistical and systematic errors in quantum process tomography
New Journal of Physics, 2019 It is generally assumed that every process in quantum physics can be described mathematically by a completely positive map. However, experimentally reconstructed processes are not necessarily completely positive due to statistical or systematic errors ...
Sabine Wölk +3 more
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Positive reduction from spectra
, 2014 We study the problem of whether all bipartite quantum states having a prescribed spectrum remain positive under the reduction map applied to one subsystem.
Jivulescu, Maria Anastasia +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash +4 more
wiley +1 more source