Results 41 to 50 of about 1,511,858 (279)

New tools for investigating positive maps in matrix algebras

, 2012
We provide a novel tool which may be used to construct new examples of positive maps in matrix algebras (or, equivalently, entanglement witnesses). It turns out that this can be used to prove positivity of several well known maps (such as reduction map ...
Bhatia, Choi, Chruscinski, Chruscinski, Chruscinski, Chruscinski, Chruscinski, Chruscinski, Dariusz Chruściński, de Pillis, Gühne, Ha, Ha, Ha, Ha, Horodecki, Horodecki, Jamiołkowski, Justyna P. Zwolak, Lewenstein, Majewski, Nielsen, Paulsen, Qi, Robertson, Robertson, Sarbicki, Skowronek, Sperling, Terhal   +29 more
core   +1 more source

A Grüss inequality for n-positive linear maps

Linear Algebra and its Applications, 2010
Let $\mathscr{A}$ be a unital $C^*$-algebra and let $ : \mathscr{A} \to {\mathbb B}({\mathscr H})$ be a unital $n$-positive linear map between $C^*$-algebras for some $n \geq 3$. We show that $$\| (AB)- (A) (B)\| \leq (A,||\cdot||)\, (B,||\cdot||)$$ for all operators $A, B \in \mathscr{A}$, where $ (C,\|\cdot\|)$ denotes the operator norm ...
Moslehian, Mohammad Sal, Rajić, Rajna
openaire   +4 more sources

Weighted arithmetic–geometric operator mean inequalities

Journal of Inequalities and Applications, 2018
In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators.
Jianming Xue
doaj   +1 more source

New multiplicativity results for qubit maps

, 2006
Let $\Phi$ be a trace-preserving, positivity-preserving (but not necessarily completely positive) linear map on the algebra of complex $2 \times 2$ matrices, and let $\Omega$ be any finite-dimensional completely positive map. For $p=2$ and $p \geq 4$, we
Amosov G. G., Amosov G. G., Christopher King, Nilufer Koldan, Watrous J.   +4 more
core   +2 more sources

Conditional Expectations for Unbounded Operator Algebras

International Journal of Mathematics and Mathematical Sciences, 2007
Two conditional expectations in unbounded operator algebras (O∗-algebras) are discussed. One is a vector conditional expectation defined by a linear map of an O∗-algebra into the Hilbert space on which the O∗-algebra acts.
Atsushi Inoue, Hidekazu Ogi, Mayumi Takakura   +2 more
doaj   +1 more source

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, Tania - Luminita Costache, Mariana Zamfir   +2 more
doaj  

Operator upper bounds for Davis-Choi-Jensen's difference in Hilbert spaces [PDF]

Mathematica Moravica
In this paper we obtain several operator inequalities providing upper bounds for the Davis-Choi-Jensen's Difference Ph (f (A)) - f (Ph (A)) for any convex function f : I → R, any selfadjoint operator A in H with the spectrum Sp (A) ⊂ I and any linear ...
Dragomir Silvestru Sever
doaj   +1 more source

Linear $L$-positive sets and their polar subspaces

, 2012
In this paper, we define a Banach SNL space to be a Banach space with a certain kind of linear map from it into its dual, and we develop the theory of linear $L$-positive subsets of Banach SNL spaces with Banach SNL dual spaces.
A Brøndsted, H Brezis, JE Martínez-Legaz, M Marques Alves, R Arens, RT Rockafellar, S Simons, S Simons, S Simons, S Simons   +9 more
core   +1 more source

Entanglement Witnesses Arising from Exposed Positive Linear Maps [PDF]

Open Systems & Information Dynamics, 2011
We consider entanglement witnesses arising from positive linear maps which generate exposed extremal rays. We show that every entangled state can be detected by one of these witnesses, and this witness detects a unique set of entangled states among those. Therefore, they provide a minimal set of witnesses to detect any kind of entanglement in a sense.
Ha, Kil-Chan, Kye, Seung-Hyeok
openaire   +3 more sources

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source