On Berezin norm and Berezin number inequalities for sum of operators
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
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Crouzeix's conjecture, compressions of shifts, and classes of nilpotent matrices
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
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Further inequalities for convex functions with applications to matrix inequalities
Building on the ideas and techniques from a recent paper by D.Q. Huy et al. [Linear Algebra Appl. 656 (2023), 368–384], we establish new inequalities for convex and log-convex functions.
Ren Yonghui +3 more
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Operators with numerical range in a closed halfplane
Various characterizations are given of real and complex Hilbert space operators with the numerical range in a closed halfplane. Key words: Numerical range, pairs of selfadjoint operators. Mathematics Subject Classification 2000: 47A12.
Chi-kwong Li +2 more
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Calculation Of Pseudospectra By The Arnoldi Iteration
. The Arnoldi iteration, usually viewed as a method for calculating eigenvalues, can also be used to estimate pseudospectra. This possibility may be of practical importance, for in applications involving highly non-normal matrices or operators, such as ...
Lloyd N. Trefethen, Kim-Chuan Toh, Lloyd
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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
The higher rank numerical range of nonnegative matrices
Aretaki Aikaterini, Maroulas Ioannis
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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.
europepmc +1 more source

