Numerical radius inequalities and its applications in estimation of zeros of polynomials
We present some upper and lower bounds for the numerical radius of a bounded linear operator defined on complex Hilbert space, which improves on the existing upper and lower bounds. We also present an upper bound for the spectral radius of sum of product
Bag, Santanu+2 more
core
A three monoclonal antibody combination potently neutralizes multiple botulinum neurotoxin serotype F subtypes. [PDF]
Fan Y+8 more
europepmc +1 more source
Genetic aberrations in glioblastoma multiforme: translocation of chromosome 10 in an O-2A-like cell line. [PDF]
Mao X+9 more
europepmc +1 more source
An 85-kilodalton herpes simplex virus type 1 alpha trans-induction factor (VP16)-VP13/14 fusion protein retains the transactivation and structural properties of the wild-type molecule during virus infection. [PDF]
McKnight JL, Doerr M, Zhang Y.
europepmc +1 more source
Identification of genes influencing dendrite morphogenesis in developing peripheral sensory and central motor neurons. [PDF]
Ou Y+3 more
europepmc +1 more source
On the real and imaginary parts of powers of the Volterra operator [PDF]
We study the real and imaginary parts of the powers of the Volterra operator on $L^2[0,1]$, specifically their eigenvalues, their norms and their numerical ranges.
arxiv
New estimates for numerical radius in $C^*$-algebras [PDF]
Several numerical radius inequalities in the framework of $C^*$-algebras are proved in this paper. These results, which are based on an extension of Buzano inequality for elements in a pre-Hilbert $C^*$-module, generalize earlier numerical radius inequalities.
arxiv
An extension of the $ρ$-operator radii [PDF]
We define a function on the $C^{\ast}$-algebra of all bounded linear Hilbert space operators, which generalizes the operator radii, and we present some basic properties of this function. Our results extend several results in the literature.
arxiv
The higher rank numerical range of nonnegative matrices
Aretaki Aikaterini, Maroulas Ioannis
doaj +1 more source