Results 21 to 30 of about 429 (36)

A note on the $C$-numerical radius and the $\lambda$-Aluthge transform in finite factors

, 2017
We prove that for any two elements $A$, $B$ in a factor $M$, if $B$ commutes with all the unitary conjugates of $A$, then either $A$ or $B$ is in $\mathbb{C}I$.
Fang, Junsheng, Wen, Shilin, Zhou, Xiaoyan   +2 more
core   +1 more source

Private quantum codes: introduction and connection with higher rank numerical ranges

, 2013
We give a brief introduction to private quantum codes, a basic notion in quantum cryptography and key distribution. Private code states are characterized by indistinguishability of their output states under the action of a quantum channel, and we show ...
Kribs, D. W., Plosker, S.
core   +1 more source

Domaine Numérique du produit AB avec A normal [PDF]

, 2006
2000 Mathematics Subject Classification: 18B30, 47A12.Let A, B be two linear operators on a complex Hilbert space H. We extend a Bouldin's result (1969) conserning W(AB) - the numerical range of the product AB. We show, when AB = BA and A is normal, than
Kaadoud, Mohamed Chraïbi
core  

On Berezin norm and Berezin number inequalities for sum of operators

Demonstratio Mathematica
The aim of this study is to obtain several inequalities involving the Berezin number and the Berezin norm for various combinations of operators acting on a reproducing kernel Hilbert space.
Altwaijry Najla, Feki Kais, Minculete Nicusor   +2 more
doaj   +1 more source

Convexity around the Unit of a Banach Algebra [PDF]

, 2008
2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12.We estimate the (midpoint) modulus of convexity at the unit 1 of a Banach algebra A showing that inf {max±||1 ± x|| − 1 : x ∈ A, ||x||=ε} ≥ (π/4e)ε²+o(ε²) as ε → 0. We also
Kadets, Vladimir, Katkova, Olga, Martín, Miguel, Vishnyakova, Anna   +3 more
core  

Crouzeix's conjecture, compressions of shifts, and classes of nilpotent matrices

Concrete Operators
This article studies the level set Crouzeix (LSC) conjecture, which is a weak version of Crouzeix’s conjecture that applies to finite compressions of the shift.
Bickel Kelly, Corbett Georgia, Glenning Annie, Guan Changkun, Vollmayr-Lee Martin   +4 more
doaj   +1 more source

Weakly selfadjoint operators II [PDF]

, 2009
In this note, we show some basic results related to the spectrum of a weakly selfadjoint ...
Nakamura Noboru
core   +1 more source

Compressions and Pinchings

, 2002
There exist operators $A$ such that : for any sequence of contractions $\{A_n\}$, there is a total sequence of mutually orthogonal projections $\{E_n\}$ such that $\Sigma E_nAE_n=\bigoplus A_n$.Comment: 11 ...
Bourin, Jean-Christophe
core   +1 more source

A three monoclonal antibody combination potently neutralizes multiple botulinum neurotoxin serotype F subtypes. [PDF]

PLoS One, 2017
Fan Y, Garcia-Rodriguez C, Lou J, Wen W, Conrad F, Zhai W, Smith TJ, Smith LA, Marks JD.   +8 more
europepmc   +1 more source

Genetic aberrations in glioblastoma multiforme: translocation of chromosome 10 in an O-2A-like cell line. [PDF]

Br J Cancer, 1999
Mao X, Jones TA, Tomlinson I, Rowan AJ, Fedorova LI, Zelenin AV, Mao JI, Gutowski NJ, Noble M, Sheer D.   +9 more
europepmc   +1 more source