Results 31 to 40 of about 1,333,113 (282)

Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces [PDF]

Mathematica Moravica, 2017
Some inequalities for positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.
Sever Silvestru Dragomir
doaj  

Extreme positive linear maps between Jordan Banach algebras [PDF]

Bulletin of the Australian Mathematical Society, 1987
Let A and B be unital JB-algebras. We study the extremal structure of the convex set S (A,B) of all identity preserving positive linear maps from A to B. We show that every unital Jordan homomorphism from A to B is an extreme point of S (A,B). An extreme point of S (A,B) need not be a homomorphism and we show that, given A, every extreme point of S (A ...
Chu, Cho-Ho, Jeffries, Nigel P. H.
openaire   +1 more source

Facial structures for various notions of positivity and applications to the theory of entanglement

, 2013
In this expository note, we explain facial structures for the convex cones consisting of positive linear maps, completely positive linear maps, decomposable positive linear maps between matrix algebras, respectively.
Ha K.-C., Itoh T., Itoh T., Kye S.-H., Kye S.-H., MacWilliams F. J., Robertson A. G., Ruskai M. B., SEUNG-HYEOK KYE, Størmer E., Størmer E., Størmer E., Tanahashi K.   +12 more
core   +1 more source

Invariant sets for discontinuous parabolic area-preserving torus maps [PDF]

, 2000
We analyze a class of piecewise linear parabolic maps on the torus, namely those obtained by considering a linear map with double eigenvalue one and taking modulo one in each component.
Amadasi L, Ashwin P, Ashwin P, Berry M V, Boshernitzan M, Cornfeld I P, Goetz A, Goetz A, Hardy G H, Karol Zyczkowski, Katok A, Katok A, Keane M, Ott E, Peter Ashwin, Schmeling J, Takashi Nishikawa, Veech W, Xin-Chu Fu   +18 more
core   +2 more sources

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

Effect of regulatory architecture on broad versus narrow sense heritability. [PDF]

PLoS Computational Biology, 2013
Additive genetic variance (VA ) and total genetic variance (VG ) are core concepts in biomedical, evolutionary and production-biology genetics. What determines the large variation in reported VA /VG ratios from line-cross experiments is not well ...
Yunpeng Wang, Jon Olav Vik, Stig W Omholt, Arne B Gjuvsland   +3 more
doaj   +1 more source

Entanglement witnesses arising from Choi type positive linear maps

, 2012
We construct optimal PPTES witnesses to detect $3\otimes 3$ PPT entangled edge states of type $(6,8)$ constructed recently \cite{kye_osaka}. To do this, we consider positive linear maps which are variants of the Choi type map involving complex numbers ...
Augusiak R, Choi M-D, Chruściński D, Eom M -H, Ha K-C, Ha K-C, Kil-Chan Ha, Kye S-H, Seung-Hyeok Kye, Størmer E   +9 more
core   +1 more source

Sector operator inequalities involving positive linear maps

Journal of Inequalities and Applications
In this note, we prove the pth power ( p ≥ 2 $p\geq 2$ ) of two new sector operator inequalities for positive linear maps which are due to Bedrani et al. (Positivity 25:1601-1629, 2021) and Nasiri (Filomat 38:3429-3438, 2024), respectively.
Jiqin Chen, Xiaohui Fu, Qi Song, Chuchu Tang   +3 more
doaj   +1 more source

Quadratic optimization of fixed points for a family of nonexpansive mappings in Hilbert space

Fixed Point Theory and Applications, 2004
Given a finite family of nonexpansive self-mappings of a Hilbert space, a particular quadratic functional, and a strongly positive selfadjoint bounded linear operator, Yamada et al.
B. E. Rhoades
doaj   +2 more sources

A characterization of positive linear maps and criteria of entanglement for quantum states

, 2010
Let $H$ and $K$ be (finite or infinite dimensional) complex Hilbert spaces. A characterization of positive completely bounded normal linear maps from ${\mathcal B}(H)$ into ${\mathcal B}(K)$ is given, which particularly gives a characterization of ...
Bengtsson I Zyczkowski K, Chen K, Choi M D, Choi M D, Chruściński D, Depillis J, Dixmier J, Effros E G, Hou J C, Hou J C, Hou J C, Jinchuan Hou, Kadison R V, Kye S-H, Nielsen M A, Paulsen V, Stinespring W F   +16 more
core   +1 more source