On the numerical range of operators on some special Banach spaces
The numerical range of a bounded linear operator on a complex Banach space need not be convex unlike that on a Hilbert space. The aim of this paper is to study operators $T$ on $ \ell^2_p $ for which the numerical range is convex.
Bag, Santanu+3 more
core
On the higher rank numerical range of the shift operator
For any n-by-n complex matrix T and any $1\leqslant k\leqslant n$, let $\Lambda_{k}(T)$ the set of all $\lambda\in \C$ such that $PTP=\lambda P$ for some rank-k orthogonal projection $P$ be its higher rank-k numerical range. It is shown that if $\bbS$ is
Gaaya, Haykel
core +1 more source
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
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Genetic aberrations in glioblastoma multiforme: translocation of chromosome 10 in an O-2A-like cell line. [PDF]
Mao X+9 more
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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.
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Identification of genes influencing dendrite morphogenesis in developing peripheral sensory and central motor neurons. [PDF]
Ou Y+3 more
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The higher rank numerical range of nonnegative matrices
Aretaki Aikaterini, Maroulas Ioannis
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The Double-Layer Potential for Spectral Constants Revisited. [PDF]
Schwenninger FL, de Vries J.
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