Results 21 to 30 of about 450 (52)

Domaine Numérique du produit AB avec A normal [PDF]

open access: yes, 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  

Decomposing numerical ranges along with spectral sets

open access: yes, 2009
This note is to indicate the new sphere of applicability of the method developed by Mlak as well as by the author.
Szafraniec, F. H.
core   +1 more source

On Berezin norm and Berezin number inequalities for sum of operators

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces [PDF]

open access: yes, 2005
Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are given.Comment: 12 ...
Dragomir, Sever Silvestru
core   +2 more sources

Pinchings and Positive linear maps

open access: yes, 2015
We employ the pinching theorem, ensuring that some operators A admit any sequence of contractions as an operator diagonal of A, to deduce/improve two recent theorems of Kennedy-Skoufranis and Loreaux-Weiss for conditional expectations onto a masa in the ...
Bourin, Jean-Christophe, Lee, Eun-Young
core   +1 more source

Bounds of numerical radius of bounded linear operator using $t$-Aluthge transform

open access: yes, 2020
We develop a number of inequalities to obtain bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space using the properties of $t$-Aluthge transform.
bag, Santanu   +2 more
core  

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

open access: yesConcrete 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   +4 more
doaj   +1 more source

On the numerical radius of the truncated adjoint Shift [PDF]

open access: yes, 2012
A celebrated thorem of Fejer (1915) asserts that for a given positive trigonometric polynomial $\sum_{j=-n+1}^{n-1}c_{j}e^{ijt}$, we have $\lvert c_{1}\lvert\leqslant c_{0}\cos\frac{\pi}{n+1}$. A more recent inequality due to U. Haagerup and P.
Gaaya, Haykel
core  

Compressions and Pinchings

open access: yes, 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]

open access: yesPLoS One, 2017
Fan Y   +8 more
europepmc   +1 more source

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